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Question
which side is the hypotenuse? triangle with right angle at s, sides sr=7, st=24, rt=25; options: rt, 25, all of the above (partial view of options)
Step1: Recall Hypotenuse Definition
In a right - triangle, the hypotenuse is the side opposite the right angle and it is the longest side of the right - triangle.
Step2: Identify the Right Angle and Sides
In the given triangle, the right angle is at vertex \(S\). The lengths of the sides are \(7\), \(24\), and \(25\). Among these, \(25\) is the longest side. Also, the side opposite the right angle (at \(S\)) is \(RT\) with length \(25\).
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The hypotenuse is the side \(RT\) with length \(25\) (or we can say the hypotenuse has length \(25\) and is the side \(RT\)).