Question

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 \(c = 7\) (hypotenuse) and \(a = 3\). So \(x^{2}+3^{2}=7^{2}\), which simplifies to \(x^{2}+9 = 49\).

Step2: Solve for \(x^{2}\)

Subtract 9 from both sides: \(x^{2}=49 - 9=40\).

Step3: Solve for \(x\)

Take the square root of both sides: \(x=\sqrt{40}\approx6.3\) (rounded to the nearest tenth).

Answer:

\(6.3\)