Question

Ac=AD and AB bisects at angle A .show that Triangle ABC =triangle ABD .

Answer 1

AC=AD (GIVEN)
Angle BAC=Angle Bad (AB is bisected at angle A)
AB=AB (common)
Triangle ABC = triangle ABD

Answer 2

Hey Mate ,

Here is the answer ,
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Given : AC = AD and ∠BAC = ∠BAD.
To prove : ΔABC ≡ ΔABD
Proof : 
                AC = AD                               {Given}
           ∠BAD = ∠BAC                          {Given}
                AB = AB                               {Common}
           ΔABC ≡ ΔABD                          {By SAS}
                                                                                 Hence proved.
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