5.4 Inequalities in One Triangle

Question 1

If one side of a triangle is longer than another side (in that same triangle)…

Answer 1

Then the angle opposite the longer side is larger than the angle opposite the shorter side

Question 2

If one angle of a triangle is larger than another angle (in that same triangle)…

Answer 2

Then the side opposite the larger angle is longer than the side opposite the smaller angle

Question 3

Triangle Inequality Theorem

Answer 3

The sum of the lengths of any two sides of a triangle is greater than the length of the third side