The following side lengths, in meters, were given to a carpenter to build a front porch with a triangular design. The carpenter needs to determine which set of lengths will make a triangle to be able to use it in his design.

Question

Option 1: Side lengths: 3, 3, 6

Option 2: Side lengths: 6, 8.1

Option 3: Side lengths: 4, 6, 13 (1 point)

O Option 1

Option 2

Option 3

Answer 1

The correct option is Option 3. The side lengths 4, 6, and 13 will make a triangle because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 4 + 6 = 10, which is greater than 13, and 4 + 13 = 17, which is greater than 6, and 6 + 13 = 19, which is greater than 4.