The height , h of the traingle is 24 cm.
What are Similar Triangles ?
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
In other words, similar triangles are the same shape, but not necessarily the same size.
In the question , from the figure it is clear that
ΔDBC and ΔABE are similar with AAA Similarity as
∠DBC=∠ABE (vertically opposite angles)
∠CDB=∠AEB (alternate angles)
∠DCB=∠BAE (alternate angles)
According to the theorem if the triangles are similar their sides are in ratio to each other.
CD : AE = 10 : 20 = 1 : 2
This means that the height of DBC = half the height of ABE.
h+h' = 36
h+h/2 = 36
h= 24 cm
Therefore height of ΔABE is 24 cm .
To know more about similar triangles
https://brainly.com/question/25882965
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