Question

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.
Option 1: Side lengths: 3, 3, 6
Option 2: Side lengths: 6, 8, 10
Option 3: Side lengths: 4, 6, 13(1 point)
Responses

Option 1
Option 1

Option 2
Option 2

Option 3
Option 3

Answer 1

[AI-generated answer — Bot GPT 3.5]

Option 2: Side lengths 6, 8, 10

This set of side lengths follows the triangle inequality theorem, which states that 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, 6 + 8 = 14, which is greater than 10, 6 + 10 = 16, which is greater than 8, and 8 + 10 = 18, which is greater than 6. Therefore, Option 2 will make a valid triangle.