Use Theorem
Given: 


Prove: 


(HINT: Use a proportion to show that

To prove:
Given:
We need to prove, “If the bisector of an angle of a triangle also bisects the opposite side, then the triangle is an isosceles triangle”.
In a
Theorem used:
Angle bisector theorem:
If a ray bisects one angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle.
Proof:
Consider a
Given that
By angle bisector theorem, we get
Given that
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