Answer:
x = 15
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )
Thus
x² = 9 × (9 + 16) = 9 × 25 = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
