Which is the length of the unknown leg of a right triangle that has one length of 8 feet and a hypotenuse of 12 feet
To find the length of the unknown leg, we 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 other two sides.
Let's represent the length of the unknown leg as x. We know that one leg is 8 feet and the hypotenuse is 12 feet. Using the Pythagorean theorem:
12^2 = 8^2 + x^2
144 = 64 + x^2
x^2 = 144 - 64
x^2 = 80
Taking the square root of both sides, we find:
x = √80
Therefore, the length of the unknown leg is approximately 8.94 feet.
To find the length of the unknown leg of a right triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.
In this case, we know that one leg is 8 feet and the hypotenuse is 12 feet. Let's represent the length of the unknown leg as x.
According to the Pythagorean theorem, we can write the equation as:
8^2 + x^2 = 12^2
Simplifying the equation, we get:
64 + x^2 = 144
Subtracting 64 from both sides of the equation:
x^2 = 144 - 64
x^2 = 80
Now, to find the value of x, we take the square root of both sides of the equation:
x = √80
x ≈ 8.944
Therefore, the length of the unknown leg is approximately 8.944 feet.
To find the length of the unknown leg of a right triangle, you 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 other two sides.
In this case, we have a right triangle with one length of 8 feet and a hypotenuse of 12 feet. Let's assume that the length of the unknown leg is x feet.
Using the Pythagorean theorem, we can set up the equation:
x^2 + 8^2 = 12^2
Simplifying the equation, we get:
x^2 + 64 = 144
Subtracting 64 from both sides of the equation, we have:
x^2 = 80
Now, to find the value of x, we take the square root of both sides of the equation:
√(x^2) = √80
Simplifying further, we get:
x = √80
The square root of 80 is an irrational number, approximately 8.9. Therefore, the length of the unknown leg of the right triangle is approximately 8.9 feet.