If a right triangle has a leg this is 6ft. long and the hypotenuse is 12 ft. long, how long is the other leg? Round to the nearest tenth.
__ ft.
The length of the other leg can be found using 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.
In this case, we know that one leg is 6 ft. long and the hypotenuse is 12 ft. long. Let's call the length of the other leg x.
Using the Pythagorean theorem, we can write the equation:
x^2 + 6^2 = 12^2
Simplifying this equation, we get:
x^2 + 36 = 144
Subtracting 36 from both sides, we have:
x^2 = 108
Taking the square root of both sides, we get:
x = √(108)
Using a calculator, we find that √(108) is approximately 10.39.
Rounding to the nearest tenth, the length of the other leg is approximately 10.4 ft.
To find the length of the other leg in 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.
Let's denote the length of the other leg as 'x'. We know that one leg is 6 ft and the hypotenuse is 12 ft.
Using the Pythagorean theorem:
x^2 + 6^2 = 12^2
Simplifying:
x^2 + 36 = 144
Subtracting 36 from both sides:
x^2 = 108
Taking the square root of both sides:
x ≈ √108
Using a calculator, we find that the square root of 108 is approximately 10.39.
Therefore, the length of the other leg is approximately 10.39 ft.
To find the length of the other leg of a 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 (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).
In this case, we are given the length of one leg, which is 6 ft, and the hypotenuse, which is 12 ft. Let's call the length of the other leg "x".
According to the Pythagorean theorem:
(6 ft)^2 + (x)^2 = (12 ft)^2
Simplifying the equation, we get:
36 + (x)^2 = 144
Subtracting 36 from both sides, we have:
(x)^2 = 108
To find the value of x, we take the square root of both sides:
x = √108
Calculating the square root of 108 is approximately 10.39.
Therefore, the length of the other leg of the right triangle is approximately 10.4 ft rounded to the nearest tenth.
Therefore, the length of the other leg is approximately 10.4 ft.