Question

what is the length of the hypotenuse? if necessary, round to the nearest. c = \boxed{} yards

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, the Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 3\), \(b = 2\), and \(c\) is the hypotenuse. So we substitute the values: \(3^{2}+2^{2}=c^{2}\)

Step2: Calculate the squares

\(3^{2}=9\) and \(2^{2}=4\), so the equation becomes \(9 + 4=c^{2}\)

Step3: Sum the values

\(9+4 = 13\), so \(c^{2}=13\)

Step4: Take the square root

To find \(c\), we take the square root of both sides: \(c=\sqrt{13}\approx3.6\) (rounded to the nearest tenth)

Answer:

\(\approx3.6\)