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Inequalities for Sides
and Angles of a Triangle
Section 5-2
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.
m4  m1
2
1
3 4
m4  m2
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.
100 4
30
9
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.
Joke time
What do you get when you add
50 female pigs and 50 male
deer?
$100,000 (100 sows ‘an bucks)
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