An isosceles triangle is a triangle with at least two equal sides, meaning
that the lengths of those sides are equal. A new set of terms accompanies the
isosceles triangle. The equal sides are called legs. The
third side is the
base. The angle opposite the base is the vertex angle. The angles
opposite the legs are called the base angles.

Sides a and b are the legs. Side c is the base. Angle C is the vertex angle. Angles A and B are the base angles.

The beauty of an isosceles triangle is that, just like the sides, the base
angles are equal. From this we learn that if two angles of a triangle are
equal, the sides opposite them are also equal, and the triangle is an isosceles
triangle. We also know the converse: if two sides of a triangle are equal,
their opposite angles are equal, and the triangle is isosceles.