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?
To find the length of the other leg in the right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem 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, we 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 write the equation:
48^2 + x^2 = 80^2
Simplifying this equation, we have:
2304 + x^2 = 6400
To isolate x^2, we subtract 2304 from both sides:
x^2 = 6400 - 2304
x^2 = 4096
Now, we take the square root of both sides to solve for x:
x = √4096
x ≈ 64
Therefore, the length of the other leg in the right triangle is approximately 64 units.
a^2 + b^2 = c^2.
a^2 + 48^2 = 80^2.
a = ?