Please tell fast ❤️~Question no •8

1.	Please tell fast ❤️~Question no •8
Answer» Given :- ● Consider a triangle ABC . WHOSE opposite angles are EQUAL. To Prove :- ● AB = AC Construction:- Draw a bisector of angle A such that it INTERSECTING BC at D Proof :- Now, In ΔABC In ΔBAD and ΔCAD Angle B = Angle C. ( Given) Angle BAD = Angle CAD [By construction , D is the bisector of ΔA) AD = AD ( Common) By AAS congruence, ΔBAD and ΔCAD are congruent. By CPCT AB = AC Hence, The side opposite to equal angles are equal in a triangle.

Answer»

● Consider a triangle ABC . WHOSE opposite angles are EQUAL.

● AB = AC

Draw a bisector of angle A such that it INTERSECTING BC at D

Now, In ΔABC

In ΔBAD and ΔCAD

Angle B = Angle C. ( Given)

Angle BAD = Angle CAD

[By construction , D is the bisector of ΔA)

AD = AD ( Common)

By AAS congruence, ΔBAD and ΔCAD are congruent.

By CPCT

AB = AC

Hence, The side opposite to equal angles are equal in a triangle.

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