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EXAMPLE 3 Find possible side lengths ALGEBRA

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Presentation on theme: "EXAMPLE 3 Find possible side lengths ALGEBRA"— Presentation transcript:

1 EXAMPLE 3 Find possible side lengths ALGEBRA A triangle has one side of length 12 and another of length 8. Describe the possible lengths of the third side. SOLUTION Let x represent the length of the third side. Draw diagrams to help visualize the small and large values of x. Then use the Triangle Inequality Theorem to write and solve inequalities.

2 EXAMPLE 3 Find possible side lengths Small values of x Large values of x x + 8 > 12 x > 4 8 + 12 > x 20 > x, or x < 20 The length of the third side must be greater than 4 and less than 20. ANSWER

3 GUIDED PRACTICE for Example 3 3. 4 < x < 26 ANSWER
A triangle has one side of 11 inches and another of 15 inches. Describe the possible lengths of the third side. 4 < x < 26 ANSWER

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