Question

find the length of the third side. if necessary, round to the nearest tenth.
answer attempt 1 out of 2
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Explanation:

Step1: Apply Pythagorean theorem

Let the third side be \(x\). According to Pythagorean theorem \(a^{2}+b^{2}=c^{2}\). Here \(c = 5\), \(b=3\), and \(a=x\). So \(x^{2}+3^{2}=5^{2}\).

Step2: Simplify the equation

\(x^{2}+9 = 25\). Then \(x^{2}=25 - 9\). So \(x^{2}=16\).

Step3: Solve for \(x\)

Take square root of both sides. \(x=\sqrt{16}\).

Answer:

\(4\)