Question

Two sides of a triangle measure 34 and 51. Complete the inequality that indicates the possible values of the third side of the triangle using the Triangle Inequality Theorem.

Answer 1

According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let the third side of the triangle be represented by x.

The inequality indicating the possible values of the third side is:

34 + 51 > x

Simplifying the inequality:

85 > x

Therefore, the complete inequality is:

x < 85