Answer:
\(3\sqrt{5}\) centimeters.
Step-by-step explanation:
We have been given that one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters. We are asked to find the length of the hypotenuse in centimeters.
We will use Pythagoras theorem to solve our given problem.
\(a^2+b^2=c^2\), where, a and b represents legs of a right triangle and c represents the hypotenuse.
Upon substituting our given values in above formula we will get,
\(3^2+6^2=c^2\)
\(9+36=c^2\)
\(45=c^2\)
Upon taking square root of both sides of our equation we will get,
\(\sqrt{45}=c\)
\(\sqrt{9*5}=c\)
\(3\sqrt{5}=c\)
Therefore, the length of the hypotenuse of the given right triangle would be \(3\sqrt{5}\) centimeters.
