Question

Find the missing length of the triangle.

Answer 1

12 in.

Explanation:

Leg = a = 9 in.

Leg = b

Hypotenuse (side opposite of the right angle) = c = 15 in.

Use the pythagorean theorem to find the missing side length

`a^2 + b ^2 = c ^2`

`9^2 + b^2 = 15^2`

Simplify

`81 + b^2 = 225`

Subtract 81 from both sides of the equation

`b^2 = 144`

Find the square root of 144

b =
`√(144)`

b = 12

12 in

Hope this helps :)