Question

in triangle ABC, angle B = angle C and AD perpendicular to BC. prove that triangle ABD congruent to triangle ACD
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Answer 1

Answer:

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Step-by-step explanation:

Answer 2

A᭄nswer:-

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Step-by-step explanation:

Given: In ∆ABC,AB= AC

To prove:∆ABC≌ ∆ACD

Construction: Draw the bisector AD of ∠A which meet BC in D.

Proof: In ∆s ABD and ACD, we have

AB= AC [Given]

∠BAD=∠CAD [By construction since AD is the

bisector of ∠A]

AD=AB [Common side]

∴∆ABD≌∆ACD [By SAS congruence rule]

Hence,∠B=∠C. [CPCT]