Question

Can the below denote the length of sides a triangle : 7,8,16

Answer 1

Yes, the numbers 7, 8, and 16 can represent the lengths of the sides of a triangle.

Step-by-step explanation:

Yes, the given numbers 7, 8, and 16 can represent the lengths of the sides of a triangle.

To determine if three numbers can form the sides of a triangle, we apply 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, let's check if the given numbers satisfy the Triangle Inequality Theorem:

1. 7 + 8 > 16 (15 > 16) - True
2. 7 + 16 > 8 (23 > 8) - True
3. 8 + 16 > 7 (24 > 7) - True

Since all three conditions are satisfied, we can conclude that a triangle can be formed with side lengths 7, 8, and 16.

Learn more about Triangle Inequality Theorem