# Three Spherical Triangles of Equal Area

Three Spherical Triangles of Equal Area

This Demonstration shows three spherical triangles. Triangles and have a common base and the same area, so they are equivalent by dissection (as shown in Dissection of Two Spherical Triangles with a Common Base). Triangles and also have a common base and the same area, so they are also equivalent by dissection. So triangles and are equivalent by dissection.

ABC

ABC'

ABC

A'BC

ABC'

A'BC

Therefore, spherical triangles with the same area are equivalent by dissection.