5.3 - 5.5 inequalities in 1 triangle and the triangle …...5.3 5.5 inequalities in 1 triangle and...
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5.3 5.5 Inequalities in 1 Triangle and The Triangle Inequality.notebook
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"Do Now"
5.3 5.5 Inequalities in 1 Triangle and The Triangle Inequality.notebook
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5.3 5.5 Inequalities in 1 Triangle and The Triangle Inequality.notebook
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Go Over Quizzes
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Unit 6: Relationships in Triangles5.3 Inequalities in 1 Triangle
Date
Exterior AngleInequality
The measure of an exterior angle is greater than either of the remote interior angles
Geogebra Exploration
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5.3 5.5 Inequalities in 1 Triangle and The Triangle Inequality.notebook
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GeogebraRelationship between Angles and Sides in a
Triangle
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If one side is longer than another, then the angle opposite that longer side is greater than the angle opposite the shorter side.
AngleSideRelationships
If an angle has a greater measure than another, then the side opposite the
bigger angle is longer as well.
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List the angles of the triangle from smallest to largest.
List the sides of the triangle from largest to smallest.
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List the sides of the triangle from smallest to largest.
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Each group needs:1 blue noodle (6''), 1 yellow noodle (4''), and 2 green noodles (3'')
Triangles must meet corner to corner
1. Put any three noodles to make a triangle.(Record your side lengths)
2. Put one of each color to make a triangle.
3. Make a triangle using only green and blue.
5.3 5.5 Inequalities in 1 Triangle and The Triangle Inequality.notebook
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The Triangle InequalityTheorem
The sum of any two side lengths must be greater than the third side.
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Can any of these lengths make a triangle?
3, 7, 5
4, 5, 9
7, 2, 10
12, 25, 13
9, 12, 8
5, 9, 3
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If you know the lengths of 2 sides, you can use the Triangle Inequality Theorem to find a range of possible values for the 3rd
side.
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The lengths of two sides of a triangle are given.Describe the lengths possible for the third side.
8, 12
5, 16
6, 6
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