Lesson: Inequalities in Two Triangles Glencoe • Geometry • enVision • Geometry • Common Core • Prentice Hall • Geometry • Common CoreMathematics
In this lesson, we will learn how to use the hinge theorem and its converse in triangles to find the possible range of a side length or angle in two triangles.
Sample Question Videos
Consider the following two triangles.
Length is congruent to and length is congruent to . Given that is greater than , what does the hinge theorem tell us about the lengths and ?
Given that , use the hinge theorem to find the range of all possible values of in the figure.
Consider triangles and in the figure.
Without completing any calculations, use the hinge theorem to determine whether is greater than, less than, or equal to .