Chapter 5.6: Inequalities in 2 Triangles

Question 1

Converse of the Hinge Theorem

Answer 1

If two sides of a triangle are congruent to two sides of another triangle, and the third side in the first is longer than the third side in the second triangle, then the included angle measure of the first triangle is greater than the included angle measure in the second triangle.

Question 2

Hinge Theorem

Answer 2

If two sides of a triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second triangle, than the third side of the first triangle is longer than the third side of the second triangle.