Question

Find the length of the variable w

Answer 1

w = 3

Explanation:

Δ BDE and Δ BAC are similar, then the ratios of corresponding sides are equal, that is

`(BD)/(BA)` =
`(DE)/(AC)` , substitute values

`(w)/(w+2)` =
`(3)/(5)` ( cross- multiply )

5w = 3(w + 2) ← distribute

5w = 3w + 6 ( subtract 3w from both sides )

2w = 6 ( divide both sides by 2 )

w = 3