Question

4.

IF AABD
ACBE, find the value of x.
27 cm
12 cm
SE
E
23.4 cm

Answer 1

`x = 10.4`

Explanation:

Since ∆ABD is similar to ∆CBE, therefore, the ratio of their corresponding side lengths would be equal to each other. Thus:

`(BD)/(BE) = (AD)/(CE)`

BD = 12 cm

BE = x

AD = 27 cm

CE = 23.4 cm

Plug in the values

`(12)/(x) = (27)/(23.4)`

Cross multiply

`x * 27 = 23.4 * 12`

`27x = 280.8`

Divide both sides by 27

`x = 10.4`