5-4 Inequalities in One Triangle

In triangle PQR, if PQ + QR > PR, which theorem does this statement illustrate?

• Angle Sum Theorem

• Pythagorean Theorem

• Triangle Inequality Theorem

• SAS Congruence Theorem

In triangle UVW, if angle U = 70 degrees, which side is opposite to angle U?

• UV

• VW

• WV

• VU

Which of the following angle relationships in △ABC are correct? Select all that apply.

Which of the following side-angle relationships in △ABC are true? Select all that apply.

• The largest angle is opposite the smallest side

• The smallest angle is opposite the largest side

• The smallest angle is opposite the smallest side

• The largest angle is opposite the largest side

What are the sides of △MNO listed from shortest to longest?

Which of these side lengths could form a triangle?

• 13, 15, 9

• 8, 15, 7

• 35, 20, 11

• 62, 54, 7

In △XYZ, suppose XY < XZ. What inequality relates two angles in △XYZ?

Name the longest side in this figure.

Name the shortest side in this figure.

Which statement is false?