Question

Which set of side lengths, in inches, will form a triangle? a 3.5, 7.2, and 3.0 b 10.0, 4.6, and 5.3 c 5.5, 4,9, and 10.5 d 3.2, 5.9, and 4.5

Answer 1

The correct answer is D

Explanation:

To form a triangle, the sum of ANY two sides of the triangle must be greater than the length of the third side.

Looking at the first: 3.5+3.0 = 6.5 < 7.2, therefore it can't form a triangle since the sum of a pair of sides is less than the third side.

Looking at the second: 4.6 + 5.3 = 9.9 < 10.0, it's the same as the first.

Looking at the third: 5.5 + 4.9 = 10.4 < 10.5, it's the same as the first and second.

Looking at the last: 3.2 + 5.9 = 9.1 > 4.5, 3.2 + 4

5 = 7.7 > 5.9 and 5.9 + 4.5 = 10.4 > 3.2. Obviously, this fulfils the condition of a triangle. Any two sides is greater than the third, therefore the correct answer is D.