Lesson: Inequality in One Triangle: Angle Comparison Mathematics

In this lesson, we will learn how to form inequalities involving the measures of angles in a triangle given the lengths of the sides of the triangle.

Lesson Plan

Students will be able to

form inequalities involving the measures of angles in a triangle given some of the angles in the triangle,
understand that in a triangle, when two sides have unequal length, the angle opposite the longer side is larger than the angle opposite the shorter side,
form inequalities involving the measures of angles in triangles by comparing the lengths of the sides opposite to each angle,
prove given inequalities about measures of angles in triangles using opposite sides and axioms of inequalities.

Q1:

Which is the correct relationship between and ?

Q2:

From the figure below, determine the correct inequality from the following.

Q3:

Complete the following using , , or : If, in the triangle , , then .