← Back to Topic 11

Finding a Missing Leg: Classroom Packet

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. $7$