Answer:
Explanation:
These questions all use Pythagorean Theorem to solve for x.
The hypotenuse is the side across from the right angle.
It is always c in the equation.
10) a² + b² = c²
x² + 9² = 15²
x² + 81 = 225
x² + 81 - 81 = 225 - 81
x² = 144
√x² = √144
x = 12
11. a² + b² = c²
x² + 2² = 5²
x² + 4 = 25
x² + 4 - 4 = 25 - 4
x² = 21
√x² = √21
x = 4.58
13. a² + b² = c²
(1/5)² + (3/5)² = c²
1/25 + 9/25 = c²
10/25 = c²
√10/25 = √c²
√10/√25 = √c²
√10/5 = c
14. a² + b² = c²
a² + (4/9)² = (8/9)²
a² + 16/81 = 64/81
a² + 16/81 - 16/81 = 64/81 -16/81
a² = 48/81
√a² = √48/81
a = √48/√81
a = 4√3/9