Question

Find the value of x in the triangle. SU RV

Answer 1

Answer:

x = 8

Step-by-step explanation:

Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is

$\frac{TS}{TR}$ = $\frac{TU}{TV}$ , substitute values

$\frac{x}{x+16}$ = $\frac{5}{15}$ = $\frac{1}{3}$ ( cross- multiply )

3x = x + 16 ( subtract x from both sides )

2x = 16 ( divide both sides by 2 )

x = 8