Question

Use the given figure to prove that, AB = AC.

Answer 1

Bonjour ❤️

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✔️GIVEN :–

AP = AQ

angle BAP = CAQ

✔️TO PROVE :–

AB = AC

✔️ PROOF :–

In ∆APQ

AP = AQ

=> ∆ APQ is an isosceles triangle.

=> angle APQ = AQP
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now,

In ∆ABQ and ∆ACP,

angle AQP = APQ (above proof).......................................................(i)

AQ = AP ( given ).................................(ii)

angle BAP + PAQ = CAQ + QAP..........( PAQ is added to equals )

=> angles BAQ = CAP .......................(iii)

[ from (i) , (ii) and (iii) ]

∆ ABQ (congruent) ∆ACP .......... ( A.S.A )

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✔️hence, AB = AC ......(c.p.c.t.)

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hope it will help you ✌️✌️
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❤️ THANKS ❤️

# BE BRAINLY

Answer 2

hope its helps you ....................................