Question

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21 ft.
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = \boxed{} feet
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Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, the Pythagorean theorem is given by \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the lengths of the legs of the right - triangle and \(c\) is the length of the hypotenuse. Here, \(a = 28\) ft and \(b=21\) ft. So we substitute these values into the formula: \(c^{2}=28^{2}+21^{2}\).
First, calculate \(28^{2}=28\times28 = 784\) and \(21^{2}=21\times21=441\). Then \(c^{2}=784 + 441=1225\).

Step2: Solve for c

Take the square root of both sides to find \(c\). Since \(c=\sqrt{1225}\), and we know that \(\sqrt{1225} = 35\) (because \(35\times35 = 1225\)).

Answer:

35