Question

I need help with question 39

Answer 1

e = 5.25 , f = 4.5

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

`(DF)/(AC)` =
`(EF)/(BC)` ( substitute values )

`(e)/(7)` =
`(3)/(4)` ( cross- multiply )

4e = 7 × 3 = 21 ( divide both sides by 4 )

e = 5.25

and

`(DE)/(AB)` =
`(EF)/(BC)` , that is

`(f)/(6)` =
`(3)/(4)` ( cross- multiply )

4f = 6 × 3 = 18 ( divide both sides by 4 )

f = 4.5