Question

In UVW, UV IXY. Given that WU= 35, WX= 15, and WY= 18, find WV.

Answer 1

WV = 42

Explanation:

Δ UVW and Δ XYW are similar ( by the AA postulate ) , then the ratios of corresponding sides are in proportion, that is

`(WV)/(WY)` =
`(WU)/(WX)` ( substitute values )

`(WV)/(18)` =
`(35)/(15)` ( cross- multiply )

15 WV = 630 ( divide both sides by 15 )

WV = 42