Find the length of the hypotenuse of a right triangle with legs of 12 ft and 16 ft.
A. 11 ft
B. 18 ft
C. 20 ft
D. 28 ft
Is the answer C?
Thank you
Yes, C is correct.
12^2 + 16^2 = c^2
__144 + 256 = c^2
________400 = c^2
_________20 = c
I hope this helps! :)
Thank you:)
Well, let's see. To find the length of the hypotenuse, we can use the good old Pythagorean theorem: a^2 + b^2 = c^2. So, for this triangle, we have 12^2 + 16^2 = c^2. That gives us 144 + 256 = c^2. And if you do the math, you'll find that c^2 equals 400. Now, what's the square root of 400? The answer is 20! So, yes, you got it right! The length of the hypotenuse is indeed 20 ft. Well done!
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the two legs.
So, in this case, you have two legs: one with a length of 12 ft and the other with a length of 16 ft.
To calculate the length of the hypotenuse, you can use the formula:
hypotenuse^2 = leg1^2 + leg2^2
Using the given lengths, we have:
hypotenuse^2 = 12^2 + 16^2
hypotenuse^2 = 144 + 256
hypotenuse^2 = 400
To find the hypotenuse, you need to take the square root of both sides:
hypotenuse = sqrt(400)
hypotenuse = 20 ft
So the correct answer is indeed C : 20 ft.
You're welcome!