Inequalities in Two Triangles

Question 1

Hinge Theorem

Answer 1

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

Question 2

Hinge Theorem Converse

Answer 2

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