3
QuizMultiple Choice

Constructing Triangles

Question 3 • FL-1205040-M/J Grade 7 Mathematics B -GF

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

Answer
A
side lengths of 5 ft, 12 ft, and 13 ft
B
side lengths of 2 ft, 11 ft, and 15 ft
C
side lengths of 3 ft, 7 ft, and 11 ft
D
side lengths of 4 ft, 8 ft, and 15 ft

Explanation

For three lengths to form a triangle, the sum of the two shorter sides must be greater than the longest side. For choice A, 5 + 12 = 17, which is greater than 13, so these lengths can form a triangle. The other choices fail this rule: their two shorter sides add to less than the longest side.

AI-written and checked against the verified answer.

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