Question

in the figure, D and E are the points on a line parallel to AB through the vertex C of ∆ABC. AD is parallel to BC and BE is parallel to AC.
(a) If the area of ∆ABC is 30cm². What is the area of ∆ABD.
(b) Find 5 triangles with the same area as that of ∆ABC from the figure.​

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

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