Question

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

Answer 1

Answer:

h = 24 cm

Step-by-step explanation:

By using the similar triangle property in the given triangles,

Since, ΔBCD ~ ΔBAE

Their corresponding sides will be in the same ratio,

$\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}$

$\frac{CD}{AE}=\frac{a}{h}$

$\frac{10}{20}=\frac{(36-h)}{h}$

10h = 20(36 - h)

10h = 720 - 20h

30h = 720

h = 24 cm

Therefore, height h = 24 cm is the answer.