Question

Use similar triangles to calculate the height, h cm, of triangle ABE.

10 cm
D
36 cm
X
h
A А
E
20 cm

Answer 1

24

Explanation:

I took the test

Answer 2

h = 24 cm

Explanation:

By using the similar triangle property in the given triangles,

Since, ΔBCD ~ ΔBAE

Their corresponding sides will be in the same ratio,

`(BC)/(BA)= (CD)/(AE)= (BD)/(BE)=(a)/(h)`

`(CD)/(AE)=(a)/(h)`

`(10)/(20)=((36-h))/(h)`

10h = 20(36 - h)

10h = 720 - 20h

30h = 720

h = 24 cm

Therefore, height h = 24 cm is the answer.