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.

7 answers

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.
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.
hypotenuse is twice the leg
so the third side is sqrt 3 times the leg
6 * sqrt 3 = 10.3923
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 '_'
1. 10.4 ft
2. 22.36
3. 26cm
4. 12ft
5. 40 yards