Question

Show taht in an isosceles triangle, angles opposite to equal sides are equal.

Answer 1

Lets draw an isoceles triangle ABC.
draw a perpendicular bisector AD on the side BC.

Now,
In ∇ ADB and ∇ ADC
AD = AD
∠ADB = ∠ADC
AB = AC

Now,
By using SAS rule.
we can say that
∇ ADB ≡ ∇ ADC

And by cpct we can say that,
∠B = ∠C

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