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oksian1 [2.3K]
3 years ago
12

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

nuse in centimeters?
Mathematics
2 answers:
barxatty [35]3 years ago
8 0

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.

seraphim [82]3 years ago
6 0
3 sqaured is 9.
6 squared is 36. 
36 + 9 = 45
Answer is root 45, and the simplified answer is;

5 root 3.

Hope this helped. If it did please can you give me brainliest! :) Thanks once again.
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