Where a, b, and c are the lengths of sides, which triangle cannot be drawn?
A) a = 3, b = 4, c = 5
B) a = 3, b = 4, c = 6
C) a = 3, b = 4, c = 6.5
D) a = 3, b = 4, c = 7

Question

Quizplus · Accepted Answer

The longest side of a triangle must always be shorter than the sum of the other two sides, or c < a + b. In choice D, c = 7, while a + b = 3 + 4 = 7, so the triangle cannot be drawn. The other choices satisfy this requirement and thus can be drawn.

Where A, B, and C Are the Lengths of Sides