Answer:
[tex]h = 24cm[/tex]
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:
[tex]h + 0.5h = 36[/tex]
[tex]1.5h = 36[/tex]
Divide through by 1.5
[tex]h = \frac{36}{1.5} [/tex]
[tex]h = 24cm[/tex]
