Question

find the length of the third side. if necessary, round to the nearest tenth.
answer attempt 2 out of 2
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Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Let the unknown side be \(a\), \(c = 9\), \(b = 5\). Then \(a=\sqrt{c^{2}-b^{2}}\).

Step2: Substitute values

\(a=\sqrt{9^{2}-5^{2}}=\sqrt{81 - 25}=\sqrt{56}\).

Step3: Calculate the square root

\(\sqrt{56}\approx7.5\) (rounded to the nearest tenth).

Answer:

\(7.5\)