Question

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

Explanation:

Step1: Identify the formula

For a right triangle, we use the Pythagorean theorem: \(a^2 + b^2 = c^2\), where \(a = 57\), \(b = 76\), and \(c\) is the hypotenuse.

Step2: Substitute the values

Substitute \(a = 57\) and \(b = 76\) into the formula: \(57^2 + 76^2 = c^2\). Calculate \(57^2 = 3249\) and \(76^2 = 5776\). Then \(3249 + 5776 = c^2\), so \(9025 = c^2\).

Step3: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{9025}\). Since \(\sqrt{9025} = 95\), we get \(c = 95\).

Answer:

95