Q. 135.0( 1 Vote )

# In the given figure, DE || BC and DE : BC = 4 : 5. Calculate the ratio of the areas of ΔADE and the trapezium ΔCEDB.

It is given that DE || BC and DE : BC = 4 : 5

AED = ACB [corresponding angles]

∆ ADE ~ ∆ABC [by AA similarity]

We know that the ratio of two similar triangles is equal to the square of the ratio of their corresponding sides.

Subtracting 1 from both the sides, we get

[given]

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