Given the side lengths below, determine which triangle is not possible.

Question

A. 3, 4, 5

B. 4, 3, 6

C. 4, 5, 6

D. 3, 3, 6

Answer 1

The answer is D.

Measurements in D violate the Triangle Inequality Theorem which requires that the sum of the lengths of any two sides of a triangle must be greater than the length of its third side.

In this case, 3 + 3 = 6 which is not greater than the third side of length 6, therefore the Triangle Inequality Theorem is violated and these can't be the measures of the sides of a triangle.