Geometry Worksheet
Inequalities in Triangles
The Triangle Inequality Theorem
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Inequalities in Triangles - Triangle Inequality Theorem |
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This worksheet contains problems
on the properties of inequalities in triangles
- including the Triangle Inequality Theorem (the sum of the lengths of any two sides
of a triangle is greater than the length of the third side). Students must
apply these properties and relate them to the sides and angles of triangles. |
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Sample Problems from Worksheet (diagrams not shown) |
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Inequalities in Triangles
Complete each Inequality Theorem.
1) If one side of a triangle is longer than a second side, then the larger angle lies opposite the _____________ side.
2) If one angle of a triangle is larger than second angle, then the longer side lies opposite the _____________ angle.
3) The sum of the lengths of any two sides of a triangle is _____________ than the length of the third side.
4-5) Name the largest angle and the smallest angle of each triangle.
6-7) Name the largest angle and the smallest angle of each triangle.
Is it possible for a triangle to have the sides with the lengths indicated? Explain.
8) 3, 7, 8
9) 1, 1, 4
10) 9, 6, 2
11) 3, 4, 5
12) 2.4, 2.9, 5
13) 3, 6, 10
14) Two sides of a triangle have lengths of 10 and 13. The length of the third side can be any number between _____
and ______.
15) Two sides of a triangle have lengths of 5x and 11x. The length of the third side can be any number between _____
and ______.
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