Question

If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles.​

Answer 1

Answer:

to prove that ABC is an isosceles triangle , we need to prove that BC is not equal to AB and AC .

We know that angle A = 36

<B=<C (angles opposite to equal sides are equal)

therefore <B=<C=(180-36)/2=72

since <A is not equal to <B and <C , BC is not equal to AB and AC . HENCE THE PROOF