Illustration to show two triangles with the same base and on the same side of the base.

Triangles With The Same Base

Illustration to show two triangles with the same base and on the same side of the base.

Illustration showing three triangles. This is used to show the following theorem: If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.

Three Triangles Used to Compare Sides

Illustration showing three triangles. This is used to show the following theorem: If two triangles have…