Constructions!.

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Presentation transcript:

Constructions!

The Triangle Inequality 5.5 Notes The Triangle Inequality

Triangle Inequality Theorem

Example 1 a) Is it possible to form a triangle with side lengths of 6.5, 6.5, and 14.5? If not, explain why not.

Example 1 b) Is it possible to form a triangle with side lengths of 6.8, 7.2, 5.1? If not, explain why not.

Example 2 In ΔPQR, PQ = 7.2 and QR = 5.2. Which measure cannot be PR? a) 7 b) 9 c) 11 d) 13

Example 3 The towns of Jefferson, Kingston, and Newbury are shown in the map below. Prove that driving first from Jefferson to Kingston and then Kingston to Newbury is a greater distance than driving from Jefferson to Newbury.