A right triangle has one leg with a length of 48 and a hypotenuse with a length of 80. What is the length of the other leg?
A.
63
B.
64
C.
65
D.
66
To find the length of the other leg of a right triangle, you can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
In this case, you are given the length of one leg (48) and the length of the hypotenuse (80). Let's call the length of the other leg "x".
Using the Pythagorean Theorem, we can set up the equation:
x^2 + 48^2 = 80^2
x^2 + 2304 = 6400
x^2 = 6400 - 2304
x^2 = 4096
To find the value of x, we can take the square root of both sides of the equation:
x = √4096
x ≈ 64
Therefore, the length of the other leg is approximately 64.
So, the correct answer is: B. 64