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5-6 Inequalities in One Triangle

5-6 Inequalities in One Triangle. Comparison Property of Inequality. Corollary to the Triangle Exterior Angle Theorem. The measure of an exterior angle of a triangle is greater than the measure of each of its remote interior angles. Problem 1: Applying the Corollary. Theorem 5-10.

JasminFlorian
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5-6 Inequalities in One Triangle

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  1. 5-6 Inequalities in One Triangle

  2. Comparison Property of Inequality

  3. Corollary to the Triangle Exterior Angle Theorem The measure of an exterior angle of a triangle is greater than the measure of each of its remote interior angles

  4. Problem 1: Applying the Corollary

  5. Theorem 5-10 If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side

  6. Problem 2: Using Theorem 5-10

  7. Theorem 5-11 If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle

  8. Problem 3: Using Theorem 5-11

  9. Theorem 5-12 The sum of the lengths of any two sides of a triangle is greater than the length of the third side

  10. Problem 4: Using the Triangle Inequality Theorem Can a triangle have side lengths with the given lengths? Explain.

  11. Can a triangle have side lengths with the given lengths? Explain.

  12. Problem 5: Finding Possible Side Lengths

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