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A practice exercise based on the triangle inequality theorem. It includes a series of examples where the lengths of the sides of triangles are given, and students are asked to determine if these numbers could be the lengths of a triangle and to prove their answers using the theorem. The document also includes exercises where students are asked to find the possible lengths for the third side of a triangle given the lengths of two sides, and a problem where a person tries to build a triangular pen with given lumber pieces.
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Name ________________________________________ Date _____________ Practice — Triangle Inequality Theorem Triangle Inequality Theorem The sum of the lengths of any two sides of a triangle is ________________ than the length of the third side. Can these numbers be the length of the sides of a triangle? Show math to prove your answer, using the Triangle Inequality Theorem. Then circle YES or NO.
In Exercises 10 – 15 , the lengths of two sides of a triangle are given. What are the possible lengths for the third side? Between what two numbers?