Question

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7 ft.
5 ft.
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = feet

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \(c^2 = a^2 + b^2\), where \(c\) is hypotenuse, \(a\) and \(b\) are legs. Here, \(c = 7\), \(b = 5\), so \(a^2 = c^2 - b^2\).
\(a^2 = 7^2 - 5^2 = 49 - 25 = 24\)

Step2: Solve for \(a\)

Take square root: \(a=\sqrt{24}\approx4.9\) (rounded to nearest tenth)

Answer:

\(4.9\)