Question

BCD = FGE similar figures

Answer 1

Explanation:

Given :

ΔBCD ≈ ΔFGE

`(BC)/(FG)=(BD)/(EF)`

`(39)/(4x+2)=(42)/(5x-2)`

`39* (5x-2)=42* (4x+2)`

`195x-78=168x+84`

`195x-168x=84+78`

`27x=162`

`x=(162)/(27)=6`

x = 6

FG = 4x + 2 = 4 × 6 +2 = 26

EF = 5x - 2 = 5 × 6 -2 = 28