Question

Triangles WSR and TVR are similar. Find x.

one-half

2

three-halves

3

Answer 1

x = 2

Explanation:

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

`(WS)/(TV)` =
`(WR)/(TR)`, substitute values

`(8)/(10)` =
`(x+6)/(2x+6)` ( cross- multiply )

8(2x + 6) = 10(x + 6) ← distribute parenthesis on both sides )

16x + 48 = 10x + 60 ( subtract 10x from both sides )

6x + 48 = 60 ( subtract 48 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2