Question

Determine whether the triangle with the given side lengths is acute, right, obtuse, or not a triangle.

6, 12, 19

Answer 1

Answer: not a triangle

Explanation:

To form a triangle, the sum of any two sides must be greater than the third side. (Triangle Inequality Theorem.) Let's check that first.

6 + 12 = 18, and the third side is 19

6 + 12 should be greater than the third side, but it's not.

Well, we got lucky and finished quickly. This can't be a triangle.