Grade 8 Algebra: Finding the Hypotenuse

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Whole-number answers

1. Find the hypotenuse c:
$a = 3,\ b = 4$
$3$ $4$ $c$
2. Find the hypotenuse c:
$a = 6,\ b = 8$
$6$ $8$ $c$
3. Find the hypotenuse c:
$a = 5,\ b = 12$
$5$ $12$ $c$
4. Find the hypotenuse c:
$a = 9,\ b = 12$
$9$ $12$ $c$
5. Find the hypotenuse c:
$a = 8,\ b = 15$
$8$ $15$ $c$
6. Find the hypotenuse c:
$a = 12,\ b = 16$
$12$ $16$ $c$
7. Find the hypotenuse c:
$a = 7,\ b = 24$
$7$ $24$ $c$
8. Find the hypotenuse c:
$a = 15,\ b = 20$
$15$ $20$ $c$

Answer Key

Level 1

1. $5$
2. $10$
3. $13$
4. $15$
5. $17$
6. $20$
7. $25$
8. $25$

Grade 8 Algebra: Finding the Hypotenuse

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Rounding to the nearest tenth

1. Find the hypotenuse c (nearest tenth):
$a = 1,\ b = 1$
$1$ $1$ $c$
2. Find the hypotenuse c (nearest tenth):
$a = 2,\ b = 3$
$2$ $3$ $c$
3. Find the hypotenuse c (nearest tenth):
$a = 4,\ b = 5$
$4$ $5$ $c$
4. Find the hypotenuse c (nearest tenth):
$a = 3,\ b = 6$
$3$ $6$ $c$
5. Find the hypotenuse c (nearest tenth):
$a = 5,\ b = 7$
$5$ $7$ $c$
6. Find the hypotenuse c (nearest tenth):
$a = 2,\ b = 8$
$2$ $8$ $c$
7. Find the hypotenuse c (nearest tenth):
$a = 6,\ b = 9$
$6$ $9$ $c$
8. Find the hypotenuse c (nearest tenth):
$a = 4,\ b = 10$
$4$ $10$ $c$

Answer Key

Level 2

1. $\sqrt{2} \approx 1.4$
2. $\sqrt{13} \approx 3.6$
3. $\sqrt{41} \approx 6.4$
4. $3\sqrt{5} \approx 6.7$
5. $\sqrt{74} \approx 8.6$
6. $2\sqrt{17} \approx 8.2$
7. $3\sqrt{13} \approx 10.8$
8. $2\sqrt{29} \approx 10.8$

Grade 8 Algebra: Finding the Hypotenuse

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Decimals and square roots

1. Find the hypotenuse c:
$a = 1.5,\ b = 2$
$1.5$ $2$ $c$
2. Find the hypotenuse c:
$a = 0.6,\ b = 0.8$
$0.6$ $0.8$ $c$
3. Find the hypotenuse c:
$a = 2.5,\ b = 6$
$2.5$ $6$ $c$
4. Find the hypotenuse c:
$a = \sqrt{5},\ b = 2$
$\sqrt{5}$ $2$ $c$
5. Find the hypotenuse c:
$a = \sqrt{7},\ b = 3$
$\sqrt{7}$ $3$ $c$
6. Find the hypotenuse c:
$a = \sqrt{11},\ b = 5$
$\sqrt{11}$ $5$ $c$
7. Find the slant height l of the cone:
$r = 5,\ h = 12$
$12$ $5$ $l$
8. Find the slant height l of the cone:
$r = 6,\ h = 8$
$8$ $6$ $l$

Answer Key

Level 3

1. $2.5$
2. $1$
3. $6.5$
4. $3$
5. $4$
6. $6$
7. $13$
8. $10$

Grade 8 Algebra: Finding a Missing Leg

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Whole-number answers

1. Find the missing leg b:
$a = 3,\ c = 5$
$3$ $b$ $5$
2. Find the missing leg b:
$a = 6,\ c = 10$
$6$ $b$ $10$
3. Find the missing leg b:
$a = 5,\ c = 13$
$5$ $b$ $13$
4. Find the missing leg b:
$a = 8,\ c = 17$
$8$ $b$ $17$
5. Find the missing leg b:
$a = 12,\ c = 15$
$12$ $b$ $15$
6. Find the missing leg b:
$a = 7,\ c = 25$
$7$ $b$ $25$
7. Find the missing leg b:
$a = 20,\ c = 25$
$20$ $b$ $25$
8. Find the missing leg b:
$a = 9,\ c = 41$
$9$ $b$ $41$

Answer Key

Level 1

1. $4$
2. $8$
3. $12$
4. $15$
5. $9$
6. $24$
7. $15$
8. $40$

Grade 8 Algebra: Finding a Missing Leg

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Rounding to the nearest tenth

1. Find the missing leg b (nearest tenth):
$a = 2,\ c = 5$
$2$ $b$ $5$
2. Find the missing leg b (nearest tenth):
$a = 4,\ c = 7$
$4$ $b$ $7$
3. Find the missing leg b (nearest tenth):
$a = 3,\ c = 9$
$3$ $b$ $9$
4. Find the missing leg b (nearest tenth):
$a = 5,\ c = 8$
$5$ $b$ $8$
5. Find the missing leg b (nearest tenth):
$a = 6,\ c = 11$
$6$ $b$ $11$
6. Find the missing leg b (nearest tenth):
$a = 1,\ c = 4$
$1$ $b$ $4$
7. Find the missing leg b (nearest tenth):
$a = 7,\ c = 12$
$7$ $b$ $12$
8. Find the missing leg b (nearest tenth):
$a = 10,\ c = 15$
$10$ $b$ $15$

Answer Key

Level 2

1. $\sqrt{21} \approx 4.6$
2. $\sqrt{33} \approx 5.7$
3. $6\sqrt{2} \approx 8.5$
4. $\sqrt{39} \approx 6.2$
5. $\sqrt{85} \approx 9.2$
6. $\sqrt{15} \approx 3.9$
7. $\sqrt{95} \approx 9.7$
8. $5\sqrt{5} \approx 11.2$

Grade 8 Algebra: Finding a Missing Leg

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Decimals and square roots

1. Find the missing leg b:
$a = 1.2,\ c = 2$
$1.2$ $b$ $2$
2. Find the missing leg b:
$a = 0.5,\ c = 1.3$
$0.5$ $b$ $1.3$
3. Find the missing leg b:
$a = 4.5,\ c = 7.5$
$4.5$ $b$ $7.5$
4. Find the missing leg b:
$a = 2.4,\ c = 2.6$
$2.4$ $b$ $2.6$
5. Find the missing leg b:
$a = 2,\ c = \sqrt{13}$
$2$ $b$ $\sqrt{13}$
6. Find the missing leg b:
$a = 3,\ c = \sqrt{34}$
$3$ $b$ $\sqrt{34}$
7. Find the height h of the cone:
$r = 8,\ l = 17$
$h$ $8$ $17$
8. Find the radius r of the cone:
$h = 24,\ l = 25$
$24$ $r$ $25$

Answer Key

Level 3

1. $1.6$
2. $1.2$
3. $6$
4. $1$
5. $3$
6. $5$
7. $15$
8. $7$

Grade 8 Algebra: The Converse: Is It a Right Triangle?

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Small whole-number sides

1. Is this a right triangle:
$3, \ 4, \ 5$
$3$ $4$ $5$
2. Is this a right triangle:
$6, \ 8, \ 10$
$6$ $8$ $10$
3. Is this a right triangle:
$4, \ 5, \ 6$
$4$ $5$ $6$
4. Is this a right triangle:
$5, \ 12, \ 13$
$5$ $12$ $13$
5. Is this a right triangle:
$7, \ 8, \ 9$
$7$ $8$ $9$
6. Is this a right triangle:
$8, \ 15, \ 17$
$8$ $15$ $17$
7. Is this a right triangle:
$2, \ 3, \ 4$
$2$ $3$ $4$
8. Is this a right triangle:
$9, \ 40, \ 41$
$9$ $40$ $41$

Answer Key

Level 1

1. $\text{Yes: } 9+16=25$
2. $\text{Yes: } 36+64=100$
3. $\text{No: } 16+25=41 \ne 36$
4. $\text{Yes: } 25+144=169$
5. $\text{No: } 49+64=113 \ne 81$
6. $\text{Yes: } 64+225=289$
7. $\text{No: } 4+9=13 \ne 16$
8. $\text{Yes: } 81+1600=1681$

Grade 8 Algebra: The Converse: Is It a Right Triangle?

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Larger whole-number sides

1. Is this a right triangle:
$10, \ 24, \ 26$
$10$ $24$ $26$
2. Is this a right triangle:
$6, \ 7, \ 9$
$6$ $7$ $9$
3. Is this a right triangle:
$12, \ 35, \ 37$
$12$ $35$ $37$
4. Is this a right triangle:
$11, \ 60, \ 61$
$11$ $60$ $61$
5. Is this a right triangle:
$7, \ 10, \ 12$
$7$ $10$ $12$
6. Is this a right triangle:
$20, \ 21, \ 29$
$20$ $21$ $29$
7. Is this a right triangle:
$13, \ 14, \ 15$
$13$ $14$ $15$
8. Is this a right triangle:
$16, \ 30, \ 34$
$16$ $30$ $34$

Answer Key

Level 2

1. $\text{Yes: } 100+576=676$
2. $\text{No: } 36+49=85 \ne 81$
3. $\text{Yes: } 144+1225=1369$
4. $\text{Yes: } 121+3600=3721$
5. $\text{No: } 49+100=149 \ne 144$
6. $\text{Yes: } 400+441=841$
7. $\text{No: } 169+196=365 \ne 225$
8. $\text{Yes: } 256+900=1156$

Grade 8 Algebra: The Converse: Is It a Right Triangle?

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Decimals and square roots

1. Is this a right triangle:
$1.5, \ 2, \ 2.5$
$1.5$ $2$ $2.5$
2. Is this a right triangle:
$\sqrt{2}, \ \sqrt{3}, \ \sqrt{5}$
$\sqrt{2}$ $\sqrt{3}$ $\sqrt{5}$
3. Is this a right triangle:
$0.9, \ 1.2, \ 1.6$
$0.9$ $1.2$ $1.6$
4. Is this a right triangle:
$1, \ \sqrt{3}, \ 2$
$1$ $\sqrt{3}$ $2$
5. Is this a right triangle:
$\sqrt{11}, \ 5, \ 6$
$\sqrt{11}$ $5$ $6$
6. Is this a right triangle:
$2, \ \sqrt{5}, \ 3$
$2$ $\sqrt{5}$ $3$
7. Is this a right triangle:
$0.5, \ 1.2, \ 1.4$
$0.5$ $1.2$ $1.4$
8. Is this a right triangle:
$3, \ 3, \ \sqrt{18}$
$3$ $3$ $\sqrt{18}$

Answer Key

Level 3

1. $\text{Yes: } 2.25+4=6.25$
2. $\text{No: } 2+3=13 \ne 5$
3. $\text{No: } 0.81+1.44=2.25 \ne 2.56$
4. $\text{No: } 1+3=10 \ne 4$
5. $\text{No: } 11+25=146 \ne 36$
6. $\text{No: } 4+5=29 \ne 9$
7. $\text{No: } 0.25+1.44=1.69 \ne 1.96$
8. $\text{No: } 9+9=18 \ne 18$

Grade 8 Algebra: Distance Between Two Points

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Whole-number distances

1. Find the distance between the points:
$(0, 0),\ (3, 4)$
2. Find the distance between the points:
$(1, 2),\ (4, 6)$
3. Find the distance between the points:
$(0, 0),\ (6, 8)$
4. Find the distance between the points:
$(2, 1),\ (7, 13)$
5. Find the distance between the points:
$(-1, -1),\ (2, 3)$
6. Find the distance between the points:
$(0, 5),\ (12, 0)$
7. Find the distance between the points:
$(1, 1),\ (1, 7)$
8. Find the distance between the points:
$(-3, 2),\ (5, 2)$

Answer Key

Level 1

1. $5$
2. $5$
3. $10$
4. $13$
5. $5$
6. $13$
7. $6$
8. $8$

Grade 8 Algebra: Distance Between Two Points

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Negative coordinates and rounding

1. Find the distance between the points:
$(-2, 1),\ (4, 9)$
2. Find the distance between the points:
$(-3, -4),\ (5, 11)$
3. Find the distance between the points:
$(1, -2),\ (4, 2)$
4. Find the distance between the points:
$(-6, 3),\ (6, -2)$
5. Find the distance (nearest tenth):
$(0, 0),\ (1, 1)$
6. Find the distance (nearest tenth):
$(1, 3),\ (4, 5)$
7. Find the distance (nearest tenth):
$(-2, -1),\ (3, 3)$
8. Find the distance (nearest tenth):
$(2, -3),\ (-4, 1)$

Answer Key

Level 2

1. $10$
2. $17$
3. $5$
4. $13$
5. $\sqrt{2} \approx 1.4$
6. $\sqrt{13} \approx 3.6$
7. $\sqrt{41} \approx 6.4$
8. $2\sqrt{13} \approx 7.2$

Grade 8 Algebra: Distance Between Two Points

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Simplifying square roots

1. Find the distance (simplify, then nearest tenth):
$(-1, 2),\ (5, 8)$
2. Find the distance (simplify, then nearest tenth):
$(1, 0),\ (6, 5)$
3. Find the distance (simplify, then nearest tenth):
$(-3, 1),\ (1, 9)$
4. Find the distance between the points:
$(-6, -2),\ (6, 3)$
5. Find the distance between the points:
$(3, -5),\ (-5, 10)$
6. Find the distance between the points:
$(-4, -4),\ (4, 2)$
7. Find the distance between the points:
$(2, 2),\ (-3, -10)$
8. Find the distance between the points:
$(-5, -6),\ (4, 6)$

Answer Key

Level 3

1. $6\sqrt{2} \approx 8.5$
2. $5\sqrt{2} \approx 7.1$
3. $4\sqrt{5} \approx 8.9$
4. $13$
5. $17$
6. $10$
7. $13$
8. $15$

Grade 8 Algebra: Word Problems: The Pythagorean Theorem

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Whole-number answers

1. Solve:
$\text{A}$ $\text{10}$ $\text{ft}$ $\text{ladder}$ $\text{leans}$ $\text{against}$ $\text{a}$ $\text{wall}$ $\text{with}$ $\text{its}$ $\text{base}$ $\text{6}$ $\text{ft}$ $\text{from}$ $\text{the}$ $\text{wall.}$ $\text{How}$ $\text{high}$ $\text{up}$ $\text{the}$ $\text{wall}$ $\text{does}$ $\text{it}$ $\text{reach?}$
2. Solve:
$\text{A}$ $\text{TV}$ $\text{screen}$ $\text{is}$ $\text{16}$ $\text{in}$ $\text{wide}$ $\text{and}$ $\text{12}$ $\text{in}$ $\text{tall.}$ $\text{How}$ $\text{long}$ $\text{is}$ $\text{its}$ $\text{diagonal?}$
3. Solve:
$\text{Lea}$ $\text{walks}$ $\text{9}$ $\text{blocks}$ $\text{east}$ $\text{and}$ $\text{then}$ $\text{12}$ $\text{blocks}$ $\text{north.}$ $\text{How}$ $\text{far}$ $\text{is}$ $\text{she}$ $\text{from}$ $\text{her}$ $\text{start}$ $\text{in}$ $\text{a}$ $\text{straight}$ $\text{line?}$
4. Solve:
$\text{A}$ $\text{rectangular}$ $\text{park}$ $\text{is}$ $\text{5}$ $\text{meters}$ $\text{by}$ $\text{12}$ $\text{meters.}$ $\text{How}$ $\text{long}$ $\text{is}$ $\text{the}$ $\text{diagonal}$ $\text{path}$ $\text{across}$ $\text{it?}$
5. Solve:
$\text{A}$ $\text{kite}$ $\text{string}$ $\text{is}$ $\text{25}$ $\text{meters}$ $\text{long.}$ $\text{The}$ $\text{kite}$ $\text{is}$ $\text{directly}$ $\text{above}$ $\text{a}$ $\text{spot}$ $\text{7}$ $\text{meters}$ $\text{from}$ $\text{you.}$ $\text{How}$ $\text{high}$ $\text{is}$ $\text{the}$ $\text{kite?}$
6. Solve:
$\text{A}$ $\text{ramp}$ $\text{rises}$ $\text{3}$ $\text{ft}$ $\text{over}$ $\text{a}$ $\text{ground}$ $\text{distance}$ $\text{of}$ $\text{4}$ $\text{ft.}$ $\text{How}$ $\text{long}$ $\text{is}$ $\text{the}$ $\text{ramp?}$
7. Solve:
$\text{A}$ $\text{tent}$ $\text{pole}$ $\text{is}$ $\text{8}$ $\text{ft}$ $\text{tall.}$ $\text{A}$ $\text{rope}$ $\text{runs}$ $\text{from}$ $\text{its}$ $\text{top}$ $\text{to}$ $\text{a}$ $\text{stake}$ $\text{6}$ $\text{ft}$ $\text{from}$ $\text{its}$ $\text{base.}$ $\text{How}$ $\text{long}$ $\text{is}$ $\text{the}$ $\text{rope?}$
8. Solve:
$\text{A}$ $\text{boat}$ $\text{sails}$ $\text{15}$ $\text{km}$ $\text{south}$ $\text{and}$ $\text{then}$ $\text{8}$ $\text{km}$ $\text{west.}$ $\text{How}$ $\text{far}$ $\text{is}$ $\text{it}$ $\text{from}$ $\text{the}$ $\text{dock?}$

Answer Key

Level 1

1. $8\text{ ft}$
2. $20\text{ in}$
3. $15\text{ blocks}$
4. $13\text{ meters}$
5. $24\text{ meters}$
6. $5\text{ ft}$
7. $10\text{ ft}$
8. $17\text{ km}$

Grade 8 Algebra: Word Problems: The Pythagorean Theorem

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Rounding to the nearest tenth

1. Solve:
$\text{A}$ $\text{square}$ $\text{field}$ $\text{has}$ $\text{sides}$ $\text{of}$ $\text{50}$ $\text{meters.}$ $\text{How}$ $\text{long}$ $\text{is}$ $\text{its}$ $\text{diagonal,}$ $\text{to}$ $\text{the}$ $\text{nearest}$ $\text{tenth?}$
2. Solve:
$\text{A}$ $\text{12}$ $\text{ft}$ $\text{ladder}$ $\text{has}$ $\text{its}$ $\text{base}$ $\text{4}$ $\text{ft}$ $\text{from}$ $\text{a}$ $\text{wall.}$ $\text{How}$ $\text{high}$ $\text{does}$ $\text{it}$ $\text{reach,}$ $\text{to}$ $\text{the}$ $\text{nearest}$ $\text{tenth?}$
3. Solve:
$\text{A}$ $\text{phone}$ $\text{screen}$ $\text{is}$ $\text{6}$ $\text{cm}$ $\text{wide}$ $\text{and}$ $\text{13}$ $\text{cm}$ $\text{tall.}$ $\text{Find}$ $\text{its}$ $\text{diagonal}$ $\text{to}$ $\text{the}$ $\text{nearest}$ $\text{tenth.}$
4. Solve:
$\text{A}$ $\text{soccer}$ $\text{field}$ $\text{is}$ $\text{100}$ $\text{meters}$ $\text{long}$ $\text{and}$ $\text{60}$ $\text{meters}$ $\text{wide.}$ $\text{How}$ $\text{long}$ $\text{is}$ $\text{its}$ $\text{diagonal,}$ $\text{to}$ $\text{the}$ $\text{nearest}$ $\text{tenth?}$
5. Solve:
$\text{A}$ $\text{plane}$ $\text{flies}$ $\text{30}$ $\text{km}$ $\text{north}$ $\text{and}$ $\text{then}$ $\text{40}$ $\text{km}$ $\text{east.}$ $\text{How}$ $\text{far}$ $\text{is}$ $\text{it}$ $\text{from}$ $\text{where}$ $\text{it}$ $\text{started?}$
6. Solve:
$\text{A}$ $\text{20}$ $\text{ft}$ $\text{wire}$ $\text{runs}$ $\text{from}$ $\text{the}$ $\text{top}$ $\text{of}$ $\text{a}$ $\text{pole}$ $\text{to}$ $\text{a}$ $\text{stake}$ $\text{9}$ $\text{ft}$ $\text{from}$ $\text{its}$ $\text{base.}$ $\text{How}$ $\text{tall}$ $\text{is}$ $\text{the}$ $\text{pole,}$ $\text{to}$ $\text{the}$ $\text{nearest}$ $\text{tenth?}$
7. Solve:
$\text{A}$ $\text{bike}$ $\text{trail}$ $\text{goes}$ $\text{3}$ $\text{miles}$ $\text{west}$ $\text{and}$ $\text{then}$ $\text{7}$ $\text{miles}$ $\text{south.}$ $\text{How}$ $\text{far}$ $\text{is}$ $\text{the}$ $\text{straight}$ $\text{path}$ $\text{back,}$ $\text{to}$ $\text{the}$ $\text{nearest}$ $\text{tenth?}$
8. Solve:
$\text{A}$ $\text{box}$ $\text{is}$ $\text{10}$ $\text{in}$ $\text{long}$ $\text{and}$ $\text{7}$ $\text{in}$ $\text{wide.}$ $\text{What}$ $\text{is}$ $\text{the}$ $\text{longest}$ $\text{pencil}$ $\text{that}$ $\text{can}$ $\text{lie}$ $\text{flat}$ $\text{on}$ $\text{its}$ $\text{bottom,}$ $\text{to}$ $\text{the}$ $\text{nearest}$ $\text{tenth?}$

Answer Key

Level 2

1. $50\sqrt{2} \approx 70.7\text{ meters}$
2. $\sqrt{128} \approx 11.3\text{ ft}$
3. $\sqrt{205} \approx 14.3\text{ cm}$
4. $\sqrt{13600} \approx 116.6\text{ meters}$
5. $50\text{ km}$
6. $\sqrt{319} \approx 17.9\text{ ft}$
7. $\sqrt{58} \approx 7.6\text{ miles}$
8. $\sqrt{149} \approx 12.2\text{ in}$

Grade 8 Algebra: Word Problems: The Pythagorean Theorem

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Multi-step problems

1. Solve:
$\text{A}$ $\text{box}$ $\text{is}$ $\text{3}$ $\text{ft}$ $\text{long,}$ $\text{4}$ $\text{ft}$ $\text{wide}$ $\text{and}$ $\text{12}$ $\text{ft}$ $\text{tall.}$ $\text{How}$ $\text{long}$ $\text{is}$ $\text{the}$ $\text{diagonal}$ $\text{from}$ $\text{a}$ $\text{bottom}$ $\text{corner}$ $\text{to}$ $\text{the}$ $\text{opposite}$ $\text{top}$ $\text{corner?}$
2. Solve:
$\text{Two}$ $\text{cars}$ $\text{leave}$ $\text{the}$ $\text{same}$ $\text{spot.}$ $\text{One}$ $\text{drives}$ $\text{40}$ $\text{miles}$ $\text{north}$ $\text{and}$ $\text{the}$ $\text{other}$ $\text{drives}$ $\text{30}$ $\text{miles}$ $\text{east.}$ $\text{How}$ $\text{far}$ $\text{apart}$ $\text{are}$ $\text{they?}$
3. Solve:
$\text{A}$ $\text{TV}$ $\text{has}$ $\text{a}$ $\text{50}$ $\text{in}$ $\text{diagonal}$ $\text{and}$ $\text{is}$ $\text{40}$ $\text{in}$ $\text{wide.}$ $\text{How}$ $\text{tall}$ $\text{is}$ $\text{it?}$
4. Solve:
$\text{Is}$ $\text{a}$ $\text{triangle}$ $\text{with}$ $\text{sides}$ $\text{9}$ $\text{cm,}$ $\text{12}$ $\text{cm}$ $\text{and}$ $\text{16}$ $\text{cm}$ $\text{a}$ $\text{right}$ $\text{triangle?}$ $\text{Explain.}$
5. Solve:
$\text{A}$ $\text{13}$ $\text{ft}$ $\text{ladder}$ $\text{reaches}$ $\text{12}$ $\text{ft}$ $\text{up}$ $\text{a}$ $\text{wall.}$ $\text{Its}$ $\text{base}$ $\text{then}$ $\text{slides}$ $\text{3}$ $\text{ft}$ $\text{farther}$ $\text{out.}$ $\text{How}$ $\text{high}$ $\text{does}$ $\text{it}$ $\text{reach}$ $\text{now,}$ $\text{to}$ $\text{the}$ $\text{nearest}$ $\text{tenth?}$
6. Solve:
$\text{A}$ $\text{square}$ $\text{has}$ $\text{a}$ $\text{diagonal}$ $\text{of}$ $\text{10}$ $\text{cm.}$ $\text{Find}$ $\text{its}$ $\text{side}$ $\text{length}$ $\text{to}$ $\text{the}$ $\text{nearest}$ $\text{tenth.}$
7. Solve:
$\text{A}$ $\text{cube}$ $\text{has}$ $\text{edges}$ $\text{of}$ $\text{2}$ $\text{meters.}$ $\text{Find}$ $\text{the}$ $\text{diagonal}$ $\text{across}$ $\text{one}$ $\text{face,}$ $\text{to}$ $\text{the}$ $\text{nearest}$ $\text{tenth.}$
8. Solve:
$\text{A}$ $\text{rectangle}$ $\text{has}$ $\text{a}$ $\text{diagonal}$ $\text{of}$ $\text{17}$ $\text{in}$ $\text{and}$ $\text{a}$ $\text{width}$ $\text{of}$ $\text{8}$ $\text{in.}$ $\text{Find}$ $\text{its}$ $\text{area.}$

Answer Key

Level 3

1. $13\text{ ft}$
2. $50\text{ miles}$
3. $30\text{ in}$
4. $\text{No: } 81+144=225 \ne 256$
5. $\sqrt{105} \approx 10.2\text{ ft}$
6. $5\sqrt{2} \approx 7.1\text{ cm}$
7. $2\sqrt{2} \approx 2.8\text{ meters}$
8. $120\text{ square inches}$