1. Try This… Measure (using your ruler), three segments 2 inches
Using those segment lengths, draw a triangle.

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

3. Are These Triangles Possible?
5, 8, 15
6, 10, 20
7, 8, 17
10, 12, 20
If two sides of a triangle are 6 and 10, the missing angle must be between what two measures?

4. Side-Angle Inequality Conjecture
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.

5. In other words… The largest angle is across from the longest side.
The smallest angle is across from the shortest side.
The medium angle is across from the mid-sized side.