In Fig, if AC = BD, then prove that AB = CD. – InterviewSolution

1.

In Fig, if AC = BD, then prove that AB = CD.

Answer»

Data: In this figure AC = BD.

To Prove : AB = CD

Proof: AC = BD (Data) → (i)

But, AC = AB + BC

and BD = BC + CD.

Substituting value of (i)

AC = BD

AB + BC = BC + CD

∴ AB = CD.

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