Question

Can you answer this please

Answer 1

DE = 15 cm, AB = 6 cm

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal.

(a)

`(DE)/(BC)` =
`(CE)/(AC)` , substitute values

`(DE)/(5)` =
`(24)/(8)` = 3 ( multiply both sides by 5 to clear the fraction )

DE = 15 cm

(b)

`(AB)/(CD)` =
`(AC)/(CE)` , substitute values

`(AB)/(18)` =
`(8)/(24)` ( cross- multiply )

24AB = 144 ( divide both sides by 24 )

AB = 6 cm