Question

In AABC, the angle bisector of ZB also bisects AC. Classify AABC as

specifically
as possible.

Answer 1

∆ABC is an isosceles triangle

Explanation:

You have a triangle ABC such that the angle bisector of angle B also bisects side AC.

Angle bisector

An angle bisector divides the sides of the triangle proportionally. This means the sides BA and BC will have the same ratio as the segments of AC on either side of the point of intersection with the angle bisector.

Since AC is bisected, that means those segments are congruent, hence sides BA and BC are congruent. The triangle is isosceles.