Question

What is EF? Please help me on this question.

Answer 1

EF = 8

Explanation:

FD is an angle bisector and divides the opposite side of the angle into segments that are proportional to the other 2 sides, that is

`(DE)/(DG)` =
`(EF)/(FG)` , substitute values

`(24)/(54)` =
`(x)/(x+10)` ( cross- multiply )

54x = 24(x + 10) ← distribute

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Thus EF = x = 8