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Which set of side lengths can be used to construct a triangle?

А
55 inches, 110 inches, 45 inches
B
45 inches, 45 inches, 90 inches
C
100 inches, 45 inches, 35 inches
D
75 inches, 55 inches, 45 inches

1 Answer

6 votes

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Answer:

D 75 inches, 55 inches, 45 inches

Explanation:

The sum of the two shortest sides must exceed the length of the longest side. This is only the case for choice D.

A. 45+55 < 110

B. 45+45 = 90 . . . . needs to be greater, not equal

C. 35+45 < 100

D. 45+55 > 75 . . . . will form an obtuse triangle

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