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Answer:
That's why the triangle sides are equal
Step-by-step explanation:
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Given :-
•Isosceles Triangle ABC
.i.e, AB=AC
To prove :-
•angle B = angle C
Construction :-
•Draw a bisector of angle A intersecting BC at D
Proof :-
•In ∆BAD and ∆CAD
AB=AC [Given]
angle BAD= angle CAD [By Construction]
AD=AD [Common]
∆BAD congruent to ∆CAD [By SAS congruence rule]
→hence, proved that angleB = angleC and also equal side B and C are equal .i.e, angles opposite to equal sides are equal.
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