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Mathews-Triangle Inequality Theorem
Contributed by: Mathews
(Original author: Cason)
Can the following be the side lengths of a triangle?
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.
{6, 8, 13}
Yes
Not enough information
No
Can the following be the side lengths of a triangle?
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.
{2, 12, 9}
Yes
Not enough information
No
Can the following be the side lengths of a triangle?
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.
{15, 7, 8.5}
Yes
Not enough information
No
The three sides of a triangle are {10, x, 8}.Which inequalities can be written? Select three!
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.
x + 8 > 10
8 + 10 ≥ x
10 + x > 8
10 + 8 > x
x > 10 + 8
Find the measure of the exterior angle of the triangle.
o
º

95º

65º

Find the measure of the interior angle of the triangle.

165º

88º

o
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