Question

In a Quadrilateral ABCD AC=AD and AB bisects A show that triangle ABC = triangle ABD​

Answer 1

Answer:

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Step-by-step explanation:

Solution:

 

Given: In quadrilateral ABCD,

AC = AD & AB bisects ∠A i.e, ∠CAB = ∠DAB

To prove,

ΔABC ≅ ΔABD

Proof,

In ΔABC  & ΔABD,

AB = AB (Common)

AC = AD (Given)

∠CAB = ∠DAB (AB is bisector)

Hence, ΔABC ≅ ΔABD.         (by SAS congruence rule)

Then, BC= BD (by CPCT)

 

Thus, BC & BAD are equal.

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