Inequalities for Sides Inequalities for Sides and Angles of a Triangleand Angles of a Triangle

Section 5-3Section 5-3

Exterior Angle Inequality Thm.Exterior Angle Inequality Thm.

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

43

2

1

4 1m m

4 2m m

Theorem 5-9Theorem 5-9

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

100

30

4

9

Theorem 5-10Theorem 5-10

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

Joke TimeJoke Time

What do clowns do after April What do clowns do after April 3030thth??

Ma-trixMa-trix

What do you get when you add What do you get when you add 50 female pigs and 50 male 50 female pigs and 50 male deer?deer?

$100,000 (100 sows ‘an bucks)$100,000 (100 sows ‘an bucks)