Question

Prove that angle opposite to equal side of an isosceles triangle are equal.....

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Answer 1

Answer:

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Draw a triangle ABC,Draw a median AD

To prove =Angle B =Angle C by sas

AB =AC (given)

AD=AD(common side)

Angle BAD =angle DAC AD bisects A)

BAD is congruent to CAD

Angle B = Angle C ( corresponding

parts of congrunent triangle)

Answer 2

Answer:

Angles opposite to equal sides of an isosceles triangle are equal

Angles Opposite to Equal Sides of an Isosceles Triangle are Equal. Here we will prove that in an isosceles triangle, the angles opposite to the equal sides are equal. Given: In the isosceles ∆XYZ, XY = XZ.