Congruence in Isosceles Triangles
Example
Prove that the median to the base of an isosceles triangle is also the angle bisector of the triangle at the vertex angle.
Solution
| Given: | Isosceles triangle ABC |
| is a median of | |
Prove: |
is an angle bisector of at vertex angle C. |
Proof:
In an equilateral triangle, the median, angle bisector, altitude, and perpendicular bisector from each vertex coincide.
