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Geometry
December 22, 2016
5.6 Triangle Inequalities
DO NOW
1. What is V called?
2. What is 𝑄𝑈 called?
3. If SV = 5, what is VR?
4. If QU = 30, what is QV?
Hint: median segment lengths are in
the ratio 1 : 2 : 3
Agenda
• Announcements (2nd hour only)
• Do Now
• Review: Inequalities in a Triangle
• Practice
I can identify and apply
triangle midsegments,
medians, and altitudes.
Triangle Inequalities
1. An exterior angle is always larger than
either remote interior angle.
Triangle Inequalities
2. Larger angles are always opposite larger
sides (and vice versa).
Triangle Inequalities
3. The lengths of the two shorter sides of a
triangle are more than the length of the
longest side.
Exercises
List the angles of each triangle from smallest
to largest.
Exercises
List the lengths of each side from shortest to
longest.
Exercises
Can a triangle have the given side lengths?
Exercises
Given two side lengths, what is the shortest
and longest the third side could be?
1. 8 ft, 12 ft
2. 5 in, 16 in
3. 6 cm, 6 cm