Answer:
4) 5.3 5) 7.7 6) 8 7) 4.6 8) 4.9 9) 7.5 10) 6.7 11) 2.2 12) 8.5 13) 6.3 14) 10.9
Step-by-step explanation:
4) a² + 6² = 8² Use Pythagorean Theorem
a² + 36 = 64
- 36 - 36 Subtract 36 from both sides
a² = 28 Take the square root of both sides
a = 5.3
5) a² + 2² = 8² Use Pythagorean Theorem
a² + 4 = 64
- 4 - 4 Subtract 4 from both sides
a² = 60 Take the square root of both sides
a = 7.7
6) a² + 6² = 10² Use Pythagorean Theorem
a² + 36 = 100
- 36 - 36 Subtract 36 from both sides
a² = 64 Take the square root of both sides
a = 8
7) a² + 2² = 5² Use Pythagorean Theorem
a² + 4 = 25
- 4 - 4 Subtract 4 from both sides
a² = 21 Take the square root of both sides
a = 4.6
8) a² + 5² = 7² Use Pythagorean Theorem
a² + 25 = 49
- 25 - 25 Subtract 25 from both sides
a² = 24 Take the square root of both sides
a = 4.9
9) a² + 8² = 11² Use Pythagorean Theorem
a² + 64 = 121
- 64 - 64 Subtract 64 from both sides
a² = 57 Take the square root of both sides
a = 7.5
10) a² + 2² = 7² Use Pythagorean Theorem
a² + 4 = 49
- 4 - 4 Subtract 4 from both sides
a² = 45 Take the square root of both sides
a = 6.7
11) a² + 2² = 3² Use Pythagorean Theorem
a² + 4 = 9
- 4 - 4 Subtract 4 from both sides
a² = 5 Take the square root of both sides
a = 2.2
12) a² + 7² = 11² Use Pythagorean Theorem
a² + 49 = 121
- 49 - 49 Subtract 49 from both sides
a² = 72 Take the square root of both sides
a = 8.5
13) a² + 3² = 7² Use Pythagorean Theorem
a² + 9 = 49
- 9 - 9 Subtract 9 from both sides
a² = 40 Take the square root of both sides
a = 6.3
14) a² + 13² = 17² Use Pythagorean Theorem
a² + 169 = 289
- 169 - 169 Subtract 169 from both sides
a² = 120 Take the square root of both sides
a = 10.9
