Question

Please help.......................

Answer 1

FD = 8

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

`(FD)/(BA)` =
`(FE)/(BC)` , substitute values

`(x+3)/(2x+2)` =
`(16)/(24)` =
`(2)/(3)` ( cross- multiply )

2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides

4x + 4 = 3x + 9 ( subtract 3x from both sides )

x + 4 = 9 ( subtract 4 from both sides )

x = 5

Thus

FD = x + 3 = 5 + 3 = 8