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

User Vincent Vancalbergh
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1 Answer

19 votes
19 votes

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<strong> third side must be shorter than 155 ft.</strong>[tex]\begin{gathered} cIn addition, by subtractinge third side must be greater than 35 ft.[tex]\begin{gathered} b35ft \end{gathered}" src="
image

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

User Nucular
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