Question

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

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 5\), \(c=9\), find \(b\).

Step2: Substitute values into formula

$$b^{2}=c^{2}-a^{2}$$
$$b^{2}=9^{2}-5^{2}$$
$$b^{2}=81 - 25$$
$$b^{2}=56$$

Step3: Solve for \(b\)

$$b=\sqrt{56}$$
$$b\approx7.5$$

Answer:

\(7.5\)