Question

HELPPP!??? PLS ANSWER!!???

Answer 1

FE = 9 , DE = 15

Explanation:

Δ FDE and Δ HGE are similar , then the ratios of corresponding sides are in proportion , that is

`(FE)/(HE)` =
`(FD)/(HG)` ( substitute values )

`(FE)/(6)` =
`(12)/(8)` ( cross- multiply )

8 × FE = 6 × 12 = 72 ( divide both sides by 8 )

FE = 9

and

`(DE)/(GE)` =
`(FD)/(HG)`

`(DE)/(10)` =
`(12)/(8)` ( cross- multiply )

8 × DE = 10 × 12 = 120 ( divide both sides by 8 )

DE = 15