1. THE WORLD OF TRIANGLES

2. Learning goal The students will be able to develop a rule that will determine if any given three lengths will result in a triangle The students will be able to state a maximum measurement for a third side given two side lengths to construct a triangle

3. Essential Question Will any three given lengths/sides result in a triangle?

4. Pick Up Sticks For each given set of rods, determine if the rods can be placed together to form a triangle. In order to count as a triangle, every rod must be touching corner to corner. See example below.

5. Does it make a triangle? Combinations that do make a triangle Combinations that don’t make a triangle

6. Does it make a triangle? Looking at your table do you notice any patterns? Without actually putting them together, how can you tell whether or not the three rods will form a triangle?

7. Triangle Inequality: In order for three sides to form a triangle, the sum of the two smaller sides must be greater than the largest.

8. Triangle Inequality: Examples: Can the following sides form a triangle? Why or Why not? A. 1,2,2B. 5,6,15 Given the lengths of two sides of a triangle, state the greatest whole-number measurement that is possible for the third. A.3,5B. 2,8