1. 5.2: Triangle Inequalities
Greater Than
5.2: Triangle Inequalities
Less Than or Equal To

2. What is an inequality?
For any real number, a>b iff there is a positive number c such that a=b+c

3. All Properties Still Hold
All Properties Still Hold! Addition, Subtraction, Multiplication, Division, Transitive etc.

4. Theorem 5.8: If an angle is an exterior angle of a triangle, then its measure is larger than the measure of either remote interior angle.

5. Name all the angles whose measures are less than <14

6. Which angle is the largest?

7. Theorem 5.9: If one side of a triangle is larger than a second side, then the angle opposite that side is larger than the angle opposite the shorter side

8. Put the sides of the triangle in order from smallest to largest
AB<BC<AC

9. Put the angles in order from smallest to largest (assume x>0)
<C, <B, <A

10. Compare the following angles
m<RSU_____m<SUR
m<TSV_____m<STV
m<RSV_____m<RUV

11. It’s Proof Time!!
See Overhead