Question

8.
If the bisector of an angle of a triangle bisects the opposite side, then prove that it is an isosceles triangle​

Answer 1

Answer:

yes it is isosceles triangle

Answer 2

Answer:

Given, △ABC, AD bisects ∠A and AD bisects BC.

To prove: ABC is an Isosceles triangle

In △ABD and △ACD

∠DAB=∠DAC (AD bisects ∠A)

AD=AD (Common)

BD=CD (AD bisects BC)

Thus, △ABD≅△ACD (SAS rule)

Thus, AB=AC (By cpct)

hence, ABC is an Isosceles triangle.

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