Question

find the length of the third side. if necessary, round to the nearest tenth.
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Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 7\), \(b = 6\), and \(c\) is the hypotenuse.

Step2: Calculate \(c^{2}\)

\(c^{2}=7^{2}+6^{2}=49 + 36=85\)

Step3: Find \(c\)

\(c=\sqrt{85}\approx9.2\)

Answer:

\(9.2\)