Are the following triangles similar? Show all work and/or explanations. If so, state the reason (SSS,SAS,AA)
1 answer:
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Answer:
Area of the trapezium ABDE = 30 cm²
Step-by-step explanation:
Area of a trapezium =
Here, and
are the parallel sides of the trapezium
h = Distance between the parallel sides
From the picture attached,
ΔCAE and ΔCBD are the similar triangles.
So by the property of similarity their sides will be proportional.
CE =
CE = 12 cm
Therefore, DE = CE - CD
DE = 12 - 8 = 4 cm
Now area of trapezium ABDE =
=
= 30 cm²
Therefore, area of the trapezium ABDE = 30 cm²