Math, asked by VedantSuryavanshi, 8 months ago

in fig., CD=BE AND BD=CE. PROVE THAT AB=AC

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Answers

Answered by natille
17

Step-by-step explanation:

In triangle BCD and triangle BCE ,

CD = BE (given)

BD = CE (given)

BC = BC (common)

So, triangle BCD is congruent to triangle CBE (by SSS)

Therefore , by CPCT ,

angle BCD = angle EBC

As these two angles are equal we know that triangle ABC is an isosceles triangle.

Therefore, AB = AC

Hence proved.

Hope it helps.

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