Thursday, November 8, 2012 Agenda: TISK & No MM Lesson 5-5: Triangle Inequalities Homework: 5-5 Worksheet.

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Presentation transcript:

Thursday, November 8, 2012 Agenda: TISK & No MM Lesson 5-5: Triangle Inequalities Homework: 5-5 Worksheet

Homework Check

§5.5 Inequalities in One Triangle Theorems ◦ If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side. A B C

§5.5 Inequalities in One Triangle Theorems ◦ If one angle of a triangle is larger than another angle, then the side opposite the longer angle is larger than the side opposite the smaller angle. A B C

Example Write the measurements of the sides in order from least to greatest. A C B 25º 75º 80º

Theorems Exterior Angle Inequality ◦ The measure of an exterior angle of a triangle is greater than the measure of either of the two nonadjacent interior angles. C B A 1

Theorems Triangle Inequality ◦ The sum of the lengths of any two sides of a triangle is greater than the length of the third side. C B A AND

Finding possible side lengths. A triangle has one side of 10 cm and another of 14 cm. Describe the possible lengths of the third side. C B A 10 cm 14 cm

Extra Examples