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 in centimeters?

Answer 1

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.

Answer 2

3 sqaured is 9.
6 squared is 36. 
36 + 9 = 45
Answer is root 45, and the simplified answer is;

5 root 3.

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