Question

The side lengths 10, 14, and 15 form a triangle. Explain why.​

Answer 1

Therefore, the side lengths 10, 14, and 15 form a triangle.

Explanation:

The Triangle Inequality Theorem defines that if we are given the three sides of a triangle, then the sum of any 2 sides of a triangle must be greater than the measure of the third side of the triangle.

The three conditions that need to be met for any triangle with the side lengths A, B, and C.

`A + B > C`

`B + C > A`

`A + C > B`

Given the side lengths of a triangle

• 10

• 14

• 15

Let us check whether it satisfies the three conditions.

10+15 > 14 → TRUE

10+14 > 15 → TRUE

14+15 > 10 → TRUE

As all the conditions are met. Therefore, the side lengths 10, 14, and 15 form a triangle.