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If Two Angles of a Triangle Are Congruent Then the Sides Opposite to Them Are Congruent

In triangle A...

Question

In triangle ABC; AB=AC and D is a point in BC then, $B D = A D$ . $A D$ biscets $∠ B D C$
If the above statement is true then mention answer as 1, else mention 0 if false.

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Solution

In $△$ s ABD and ADC,
$A D = A D$ (Common)
$B D = C D$ (Given)
$A B = A C$ (Given)
Hence, $△ A B D ≅ △ A D C$ (SSS rule)
Thus, $∠ D A B = ∠ C A D$ (By cpct)
Hence, AD bisects $∠ B A C$

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Similar questions

Δ A B C ≅ Δ A D C

In triangle ABC, AB > AC and D is a point in side BC.
then, AB > AD.

If the above statement is true then mention answer as 1, else mention 0 if false

A B = A C

B D ⊥ A C

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B A = C F

Δ A B C . A B = B C, A D ⊥ B C

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