7.3 Triangle Inequalities

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Triangle Inequalities

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Presentation transcript:

7.3 Triangle Inequalities Essential Question: How can you use inequalities to describe the relationships among the side lengths and angle measures in a triangle?

Tell whether a triangle can have sides with the given lengths. B. 7, 9, 18

Find the range of values for x. 1. 12 x 10 2. 15 x 15

Order its angle measures from least to greatest.

Order the side lengths from least to greatest.

page 348 5-11 page 349 13, 14, 16-18

8. 8 9. 5<x<11 17. Hint(<D=68)DE,EF,DF p.334 Answers p. 348 Answers 4. 88 10. 127/13 5. No 11. 5.3<x<49.9 5. 76 11. 2/13 6. Yes 13. <A,<B,<C 6. 41 7. Yes 14. <E,<F,<D 7. 57 8. No 16. AC, BC, AB 8. 8 9. 5<x<11 17. Hint(<D=68)DE,EF,DF 9. 33 10. 7<x<17 18.KL,JK,JL