MATH 2360Q Lecture Notes - Lecture 10: Hypotenuse, Pons Asinorum

• School: UConn
• Department: Mathematics
• Course: MATH 2360Q
• Professor: Scott Zimmerman

Document Summary

If the triangles are right triangles, however, then ssa does hold. A triangle is called a right triangle if one of its interior angles is a right angle. The side opposite the right angle is called the hypotenuse and the two sides adjacent to the right angle are called legs. If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent. That is, if abc and def are two right triangles with right angles at the vertices c and f respectively and such that ab de and bc ef, then abc def. Finally, we will prove the sss congruence condition. In the proof, we will need the following result. If abc is a triangle, de is a segment such that de ab, and h is a half-plane bounded by de, then there is a unique point f h such that abc .