Why Doesn't SSA Work
- Harry Drew
Two triangles have side lengths of 6 and 8 units. And the next angle following the 8 unit side is . If the SSA method always proved congruence, then these two triangles would match. However, consider the illustration above. Swing the 6 unit side like a pendulum through the two points of intersection. Notice that two triangles can be formed that are not congruent.