Triangle Inequality Theorem

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Presentation transcript:

Triangle Inequality Theorem TeacherTwins©2014

Warm Up Give the best name for each quadrilateral. rectangle trapezoid 1). 2). 3). 4). trapezoid rhombus parallelogram

Triangle Inequality Theorem Exploration Side Lengths A + B <, >, or = C Triangle? 1, 2, 3 2, 3, 4 1, 3, 5 1, 2, 6 2, 5, 6 3, 4 , 6

Triangle Inequality Theorem Any side of a triangle must be shorter than the other two sides added together. If it was longer, the other two sides would not meet.

Example 2: Will the following lengths make a triangle? 5 cm, 7 cm, 4 cm Example 2: Will the following lengths make a triangle? 2 in, 4 in, 6 in 5 + 4 = 9 9 > 7 yes, this makes a triangle 2 + 4 = 6 6= 6 no, this does not make a triangle

no yes yes yes no yes Practice Tell if the following side lengths will make a triangle. 1). 7 in, 2 in, 4 in 2). 8 cm, 10 cm, 12 cm 3). 15 yd, 16 yd, 12 yd 4). 7 ft, 8ft, 9 ft 5). 10 in, 12 in, 22 in 6). 5 cm, 8 cm, 4 cm no yes yes yes no yes

Closure What are the possible lengths for the third side of a triangle with the following 2 lengths? 5 in and 4 in 2, 3, 4, 5, 6,7,8