Question

AC =AD and AB bisect angle A. Show that tringle ABC~= triangle ABD
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Answer 1

Answer:

Ac=Ad (given)

Angle BAC=angle bad (AB is bisected at angle A)

AB=AB ( commom)

triangle ABC=Triangle ABD

Answer 2

Step-by-step explanation:

Given: AC =AD,AB bisects angle A.

To Prove: triangle ABC ~=triangle ABD

Proof: In triangle ABC and triangle ABD

AC=AD (given)

angle 1=angle 2(as AB bisects angle A)

AB=AB (common)

So, triangle ABC= triangle ABD (By SAS rule)

Hence Proved.