Question

a right triangle has legs of lengths 5 inches and 6 inches. find the length of the hypotenuse. provide an answer accurate to the nearest tenth.

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 5\) and \(b=6\), and hypotenuse \(c\), the Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\). So \(c^{2}=5^{2}+6^{2}\).

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Step2: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{61}\).

$$c\approx7.8$$

Answer:

\(7.8\)