Question

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

Explanation:

Step1: Apply Pythagorean theorem

Let the unknown side be \(x\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\) (where \(c\) is the hypotenuse). Here \(c = 8\), \(a=5\), and \(b=x\). So \(x^{2}+5^{2}=8^{2}\).

Step2: Simplify the equation

\(x^{2}+25 = 64\). Then \(x^{2}=64 - 25\).

Step3: Calculate \(x^{2}\)

\(x^{2}=39\).

Step4: Find \(x\)

\(x=\sqrt{39}\approx 6.2\)

Answer:

\(6.2\)