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Triangle Inequality Theorem

Triangle Inequality Theorem. 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!. Practice.

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Triangle Inequality Theorem

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  1. Triangle Inequality Theorem

  2. 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!

  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____ _______ < ______ < _______ A C B Z X Y ___ AC ___ BC ___ BA ___ XZ ___ YZ ___ XZ

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

  7. Practice

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