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

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.