Question

Help me understand this question

Answer 1

Answer:

$h = 24cm$

Step-by-step explanation:

We want to use similar triangles to find the height, h of triangle ABE.

First, we determine the similarity ratio.

AE:DC=20:10=2:1

This implies that:, the height of triangle DBC is 0.5h.

From the diagram, the sum of the two heights is 36cm

This implies that:

$h + 0.5h = 36$

$1.5h = 36$

Divide through by 1.5

$h = \frac{36}{1.5}$

$h = 24cm$