Question

In isosceles ∆ABC, points M and N belong to base

BC
so that BM = CN. Prove:

∆BAM ≅ ∆CAN
∆AMN is an isosceles triangle.

Answer 1

SSS

Explanation:

Answer 2

SSS for Side Side Side

Explanation:

To prove:

Triangle ABC is isosceles so AB and AC are congruent. BM and NC are congruent because it is given. Since Triangle AMN isosceles the sides AM and AN are congruent. Also the definition of the isosceles Triangle. Because of this the triangles BAM and CAN are congruent.