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Triangle Inequality Theorem.  The sum of the two shorter sides of any triangle must be greater than the third side. Example: 3 + 5 > 7 8 > 7 Yes!

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Presentation on theme: "Triangle Inequality Theorem.  The sum of the two shorter sides of any triangle must be greater than the third side. Example: 3 + 5 > 7 8 > 7 Yes!"— Presentation transcript:

1 Triangle Inequality Theorem

2  The sum of the two shorter sides of any triangle must be greater than the third side. Example: 3 + 5 > 7 8 > 7 Yes!

3 Practice Decide if it is possible to construct a triangle having the given side lengths. If not, explain. 13mm, 25mm, 14mm 13 + 14 > 25 27 > 25 Yes! 9in, 17in, 8in 8 + 9 > 17 17 > 17 No!

4 Sides & Angles  The longest side of a triangle is always across from the largest angle. The shortest sides of a triangle is always across from the smallest angle.

5 Practice m____ < m____ < m____ _______ < ______ < _______ m____ < m____ < m____ _______ < ______ < _______ CB XZ ___ BC A ___ BA ___ AC ___ XZ ___ YZ ___ XZ Y

6 Practice List the sides in order from least to greatest: List the angles in order from least to greatest: <H, <J, <I ___ UT, ___ ST, ___ SU

7

8 Practice


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