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3.3 Triangle Inequality Conjecture. How long does each side of the drawbridge need to be so that the bridge spans the river when both sides come down?

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Presentation on theme: "3.3 Triangle Inequality Conjecture. How long does each side of the drawbridge need to be so that the bridge spans the river when both sides come down?"— Presentation transcript:

1 3.3 Triangle Inequality Conjecture

2 How long does each side of the drawbridge need to be so that the bridge spans the river when both sides come down?

3 Let’s Look at Geometer’s Sketchpad. Another Link

4 Triangle Inequality Conjecture The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

5 Can these be the measure of the sides of a triangle? 3 ft, 4 ft, 5 ft8 m, 6 m, 15 m

6 Determine the range of the 3 rd side of a triangle if two sides have length 4 cm and 8 cm. What is the shortest the 3 rd side can be? What is the longest the 3 rd side can be?

7 Another Link

8 Side-Angle Inequality Conjecture In a triangle, if one side is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side.

9 Put the variables in order LARGEST to SMALLEST V U T S R 35  30  115  45  90  45 

10 Equilateral/Equiangular Triangle Conjecture Every equilateral triangle is equiangular, and, conversely, ever equiangular triangle is equilateral.


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