Question

56. Find the value of x, x=
E.
27 am
B 9 CD
*om
A
«
28 am

Answer 1

x = 21

Explanation:

Δ EAB and Δ ECD are similar by the AA postulate , then the ratios of corresponding sides are in proportion, that is

`(AB)/(CD)` =
`(EB)/(ED)` , substitute values

`(x)/(28)` =
`(27)/(27+9)` =
`(27)/(36)` ( cross- multiply )

36x = 756 ( divide both sides by 36 )

x = 21