48
QuizMultiple Choice

Topic Test — Cumulative exam

Question 48 • *WHS Pre-Algebra - MA3119 B-CR

Compare the given dimensions of four triangles. Which triangle is possible to construct?

Answer
A
side lengths of 6 m, 8 m, and 9 m
B
side lengths of 4 m, 5 m, and 12 m
C
side lengths of 2 m, 5 m, and 8 m
D
side lengths of 4 m, 7 m, and 13 m

Explanation

A triangle can be constructed only when the sum of its two shorter sides is greater than its longest side. For choice A, 6 + 8 = 14, which is greater than 9, so these lengths can form a triangle. In each other choice, the two shorter sides add to less than the longest side, so those lengths cannot form a triangle.

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