Lesson 5.4 The Triangle Inequality. Triangle Inequality Theorem The sum of the lengths of any two sides of a triangle is greater than the length of the.

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Lesson 5.4 The Triangle Inequality

Triangle Inequality Theorem The sum of the lengths of any two sides of a triangle is greater than the length of the third side

Triangle Inequality Theorem Problems Determine if the measures given could be the sides of a triangle.  16, 17, = 33 yes, the sum of the two smallest sides is larger than the third side  6, 9, = 15 no, the sum of the two smallest sides is equal to the other side so it cannot be a triangle Find the range for the measure of the third side given the measures of two sides.  7.5 and < x < < x < 19.6  9 and < x < < x < 50

Determine whether it is possible to form a triangle with side lengths 5, 7, and 8.

Find the range for the measure of the third side of a triangle if two sides measure 4 and 13.

In ΔPQR, PQ = 7.2 and QR = 5.2. Which measure cannot be PR? A 7 B 9 C 11 D 13