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.