Question

Can the numbers 12, 6, 6 be used to form the sides of a triangle? Why or why not? Enter your answer and also a 2-3 sentence explanation that describes how you determined your answer. Review the rubric below to see how you will be evaluated.

Answer 1

No, the numbers 12, 6, 6 cannot be used to form the sides of a triangle.

Explanation:

To determine whether three numbers can form a triangle, we use the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

In this case, we have:

12 + 6 = 18 > 6

However, we also have:

6 + 6 = 12 < 12

This violates the Triangle Inequality Theorem, so we can conclude that the numbers 12, 6, 6 cannot be used to form a triangle.