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If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypotenuse?

A3√5 centimeters
B5√3 centimeters
C9 centimeters
D√5 centimeters

Verified Answer :

bcalle

The answer is A.
USE PYTHAGOREAN THEOREM

3^2+6^2=c^2
9+36=c^2
45=c^2
c=3 sqrt5

Answer:

The correct option is A. \(3\sqrt{5}\)centimeters.

Step-by-step explanation:

Consider the provided information.

It is given that the leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters.

Use Pythagorean theorem:

\((a)^2+(b)^2=(c)^2\)

Where c is hypotenuse, a is leg and b is other leg.

Now substitute the values of leg in the above formula as shown:

\((3)^2+(6)^2=(c)^2\)

\(9+36=(c)^2\)

\(45=(c)^2\)

\(\sqrt{45}=c\)

\(3\sqrt{5}=c\)

Hence, the correct option is A. \(3\sqrt{5}\)centimeters.

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