111203
AssignmentMultiple Choice

Triangles and Their Side Lengths

Question 111203 • AZ-Geometry A (MA201)

Charla has six segments with which to make two triangles. The segments lengths are 2 in., 3 in., 4 in., 5 in., 6 in., and 7 in. Which are possible side lengths of her two triangles?

Answer
A
2 in., 4 in., 6 in. and 3 in., 5 in., 7 in.
B
2 in., 5 in., 6 in. and 3 in., 4 in., 7 in.
C
2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.
D
2 in., 3 in., 6 in. and 4 in., 5 in., 7 in.

Explanation

For three lengths to form a triangle, the sum of the two shorter sides must be greater than the longest side. In choice C, 2 + 3 = 5 > 4, and 5 + 6 = 11 > 7, so both groups form triangles. The other choices include a group where the two shorter lengths add up to no more than the longest length.

AI-written and checked against the verified answer.

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