If figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AD = 6 – InterviewSolution

1.

If figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AD = 6 cm, CF = 10 cm and AE = 8 cm, find AB.

Answer»

Area of a parallelogram ABCD:

From figure:

AD × CF = CD × AE

6 x 10 = CD x 8

CD = 7.5

Since, opposite sides of a parallelogram are equal.

=> AB = DC = 7.5 cm

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