Question

what is the length of side x on the right triangle below? a √34 b 4 c 8 d √24

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 3\), \(b = 5\), and \(c=x\) (hypotenuse).
So, \(x^{2}=3^{2}+5^{2}\).

Step2: Calculate \(x^{2}\)

\(x^{2}=9 + 25\).
\(x^{2}=34\).

Step3: Solve for \(x\)

Take the square root of both sides: \(x=\sqrt{34}\).

Answer:

A. \(\sqrt{34}\)