Question

What is the value of x

Answer 1

x = 15

Explanation:

according to Altitude Theorem, we can set up this proportion:

9/RT = RT/16

RT² = 9(16)

RT² = 144

RT =
`√(144)`

RT = 12

In right triangle STR, we can find 'x' by using the Pythagorean Theorem:

9² + 12² = x²

81 + 144 = x²

225 = x²

x = √225 = 15