Inequalities for Sides and Angles of a Triangle

1
Inequalities for Sides and Angles of a Triangle

• Section 5-2

2
Exterior Angle Inequality Thm.5.8

• If an angle is an exterior angle of a triangle,
  then its measure is greater than the measure of
  either of its corresponding remote interior
  angles.

2
4
3
1
3
Theorem 5-9

• If one side of a triangle is longer than
  another side, then the angle opposite the longer
  side has a greater measure than the angle
  opposite the shorter side.

4
100
30
9
4
Theorem 5-10

• If one angle of a triangle has a greater
  measure than another angle, then the side
  opposite the greater angle is longer than the
  side opposite the lesser angle.

5
Joke time

• What do you get when you add 50 female pigs and
  50 male deer?
• 100,000 (100 sows an bucks)