Question

Are the side lengths provided (11, 17, 24) capable of forming a valid triangle according to the triangle inequality theorem for triangle ABC?

Answer 1

The side lengths (11, 17, 24) are capable of forming a valid triangle according to the triangle inequality theorem.

Step-by-step explanation:

In order for the side lengths (11, 17, 24) to form a valid triangle according to the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side.

Let's check if this condition is satisfied:

• 11 + 17 = 28, which is greater than 24
• 11 + 24 = 35, which is greater than 17
• 17 + 24 = 41, which is greater than 11

Since all three conditions are satisfied, the side lengths (11, 17, 24) are capable of forming a valid triangle according to the triangle inequality theorem for triangle ABC.