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in Parallelograms by (56.3k points)

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

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Best 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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