1. Triangle Theorems

2. the sum of the measures of the interior angles of a triangle is 180 .
Triangle Sum Theorem:
the sum of the measures of the interior angles of a triangle is 180 .

3. Remote Interior Angles of a Triangle: the two angles that are non-adjacent to the specified exterior angle

4. Exterior Angle Theorem: the measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

5. Exterior Angle Inequality Theorem: the measure of an exterior angle of a triangle is greater than either of the remote interior angles.

6. Triangle Inequality Theorem:
The sum of the length of any two sides of a triangle is greater than the length of the third side.

7. Triangle Theorem:
The length of the hypotenuse in a triangle is times the length of a leg

8. Triangle Theorem:
In a triangle, the hypotenuse is two times the length of the shorter leg and the longer leg is times the length of the shorter leg.