U3C4: Triangle Inequalities

Question 1

side-angle inequality theorem

Answer 1

the largest angle in a triangle is opposite the largest side and the smallest angle in a triangle is opposite the smallest side.

Question 2

exterior angle inequality

Answer 2

the measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles.

Question 3

triangle inequality

Answer 3

the sum of two lengths must be greater than the third length to make a triangle