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Determine whether (7,24,25) can be the measures of the sides of triangles.

Determine whether (7,24,25) can be the measures of the sides of triangles.-example-1
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User Ridox
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1 Answer

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In order to create a triangle, the greater side needs to be smaller than the sum of the other two sides.

The greater value among these three values is 25, so let's check:


\begin{gathered} 25<24+7\\ \\ 25<31\text{ \lparen true\rparen} \end{gathered}

The condition was satisfied (the inequality is true), therefore the answer is Yes.

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User Paaschpa
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