Question

a triangular playground has two sides measuring 60 feet and 95 feet between which two measures must the third side of the triangle fall?

Answer 1

Based on the Triangle Inequality Theorem, any side of a triangle must be shorter than the sum of the other two sides.

Let a = first side, b = second side, and c = third side.

Applying the Triangle Inequality Theorem, we can say that:

$\begin{gathered} cSo, if a = 60 ft and b = 95 ft, then the third side must be shorter than 155 ft.[tex]\begin{gathered} cIn addition, by subtracting "a" from "b", the third side must be greater than 35 ft.[tex]\begin{gathered} b35ft \end{gathered}$

Therefore, the measure of the third side must fall between 35 ft and 155 ft.