Question

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

A. 3√5 centimeters
B. 5√3 centimeters
C. 9 centimeters
D. √5 centimeters

Answer 1

The answer is A. USE PYTHAGOREAN THEOREM 3^2+6^2=c^2 9+36=c^2 45=c^2 c=3 sqrt5

Answer 2

The correct option is A.
`3√(5)`centimeters.

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`

`√(45)=c`

`3√(5)=c`

Hence, the correct option is A.
`3√(5)`centimeters.