Answer:
h=24cm
Step-by-step explanation:
The diagram is shown in the attachment.
We need to use similar triangles to find the height of triangle ABE.
From the diagram, triangle DBC is similar triangle ABE.
We can find similarity ratio using AE:DC=20:10
This means the similarity ratio from triangle ABE to triangle DBC is 2:1
If the height of triangle ABE is h, then the height of triangle DBC is ½h.
The sum of the two heights is 36.
[tex]h + 0.5h = 36[/tex]
[tex]1.5h = 36[/tex]
[tex]h = \frac{36}{1.5} [/tex]
h=24cm
