If a right triangle has a leg that is 6 ft. long and the hypotenuse is 12 ft. long, how long is the other leg? Round to the nearest tenth.(1 point) ft.
To find the length of the other leg of 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.
Let's call the length of the other leg x.
Using the Pythagorean theorem, we can set up the equation:
x^2 + 6^2 = 12^2
Simplifying, we have:
x^2 + 36 = 144
By subtracting 36 from both sides, we have:
x^2 = 108
Taking the square root of both sides, we have:
x = √108
Now, rounding to the nearest tenth, we find:
x ≈ 10.4 ft
Therefore, the length of the other leg is approximately 10.4 ft.
To find the length of the other leg of 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.
Let's call the length of the other leg x.
Using the Pythagorean theorem, we can set up the equation:
x^2 + 6^2 = 12^2
Simplifying, we have:
x^2 + 36 = 144
Subtracting 36 from both sides, we get:
x^2 = 108
Taking the square root of both sides, we get:
x ≈ √108
Rounding to the nearest tenth, we have:
x ≈ 10.4 ft.
Therefore, the length of the other leg of the right triangle is approximately 10.4 ft.
1. 10.4 ft
2. 22.36
3. 26cm
4. 12ft
5. 40 yards
If a right triangle has a leg that is 6 ft. long and the hypotenuse is 12 ft. long, how long is the other leg? Round to the nearest tenth.(1 point) ft.
I apologize for the confusion earlier. You are correct. If the hypotenuse is twice the length of one leg in a right triangle, then the length of the other leg is found by multiplying the length of the leg by sqrt(3).
In this case, the length of the leg is 6 ft.
So, the length of the other leg would be:
6 * sqrt(3) ≈ 10.3923 ft, rounded to the nearest tenth.
@damon ur wrong bc i js did it and yes thts not the answer its 10.4 and got it write so ur wrong so yall dont go off based this answer '_'
To find the length of the other leg of a right triangle, 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.
In this case, we have the length of one leg, which is 6 ft, and the length of the hypotenuse, which is 12 ft. Let's designate the length of the other leg as "x".
Using the Pythagorean theorem, we can write the equation as:
(6^2) + (x^2) = 12^2
Simplifying, we have:
36 + x^2 = 144
Now, subtracting 36 from both sides of the equation, we get:
x^2 = 144 - 36
x^2 = 108
To solve for "x", we take the square root of both sides of the equation:
sqrt(x^2) = sqrt(108)
x = sqrt(108)
Using a calculator, we find that the square root of 108 is approximately 10.39 (rounded to two decimal places).
Therefore, the length of the other leg is approximately 10.39 ft (rounded to the nearest tenth).
hypotenuse is twice the leg
so the third side is sqrt 3 times the leg
6 * sqrt 3 = 10.3923