Question

Find the value of x in the triangle. SU RV

Answer 1

x = 8

Explanation:

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

`(TS)/(TR)` =
`(TU)/(TV)` , substitute values

`(x)/(x+16)` =
`(5)/(15)` =
`(1)/(3)` ( cross- multiply )

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

2x = 16 ( divide both sides by 2 )

x = 8