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Finding the Hypotenuse: Classroom Packet

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. $10$