Question

In △ ABC, DE ǁ AB, AD = 3 DC, A(▭ABED) = 90 cm2

.Find A(△ ABC).​

Answer 1

Answer:

Applying basic proportionality theorem, we get

AD

DC

=

BE

EC

2x

x+3

=

2x−1

x

(x+3)(2x−1)=x(2x)

2x

2

−x+6x−3=2x

2

5x=3

x=

5

3