Question

ABC and DBC are two isosceles triangles on the same base BC...show that <ABD =<ACD​

Answer 1

Step-by-step explanation:

Given: ABC and DBC are 2 Isosceles triangles in same base BC.

AB=AC and BD=CD

To prove: <ABD = <ACD

Construction: Draw AD.

Proof: In triangle ABD and ACD, AB=AC and BD=CD (Given).

AD is the common side.

By SSS Congruency criterion,

triangle ABD congruent to triangle ACD

By C.P.C.T ,

<ABD = <ACD

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