Question

Please help me!

Answer 1

Answer:

x = 12

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

The 2 triangles are similar to the outside triangle and to each other, that is

Δ RQT ~ ΔSRT

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{RT}{ST}$ = $\frac{QT}{RT}$, substitute values

$\frac{x}{9}$ = $\frac{16}{x}$ ( cross- multiply )

x² = 144 ( take the square root of both sides )

x = $\sqrt{144}$ = 12