**Question 1:** Can a triangle have sides with the given lengths? Explain. - **A.** 8 cm, 7 cm, 9 cm - **B.** 7 ft, 13 ft, 6 ft - **C.** 20 in., 18 in., 16 in. - **D.** 3 m, 11 m, 7 m To determine if a set of lengths can form a triangle, apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. - **Example Explanation for Option A:** - 8 cm + 7 cm > 9 cm - 8 cm + 9 cm > 7 cm - 7 cm + 9 cm > 8 cm - Since all conditions are met, these side lengths can form a triangle. Similarly, perform this check for the other options to determine if each set of side lengths can form a triangle.

Question 1: Can a triangle have sides with the given lengths? Explain. - A. 8 cm, 7 cm, 9 cm - B. 7 ft, 13 ft, 6 ft - C. 20 in., 18 in., 16 in. - D. 3 m, 11 m, 7 m To determine if a set of lengths can form a triangle, apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. - Example Explanation for Option A: - 8 cm + 7 cm > 9 cm - 8 cm + 9 cm > 7 cm - 7 cm + 9 cm > 8 cm - Since all conditions are met, these side lengths can form a triangle. Similarly, perform this check for the other options to determine if each set of side lengths can form a triangle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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