Question

Two sides of a triangle measure 23 inches and 41 inches. Which cannot be the length of the remaining side?

Answer 1

Anything over 64 inches.

Explanation:

The Triangle Inequality states that each side of a triangle must be shorter than the sum of the other two sides.

If you call the sides a, b, c, then a + b > c, a + c > b, b + c > a.

23 + 41 = 64, so the third side must be shorter than 64 inches.