Question

In the adjacent figure AE = BE And angle C = angle D . Prove that BD = AC.​

Answer 1

Step-by-step explanation:

We have AE=AD and CE=BD.

Adding, we get AE+CE=AD+BD

⇒AC=AB.

In triangles AEB and ADC, we have

AE=AD ___(given);

AB=AC ___ (proved);

∠EAB=∠DAC, (common angle).

By SAS postulate △AEB≅△ADC.

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