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 poin
To find the length of the other 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 x be the length of the other leg.
We can write the equation as:
x^2 + 6^2 = 12^2
Simplifying the equation:
x^2 + 36 = 144
Subtracting 36 from both sides:
x^2 = 108
Taking the square root of both sides:
x = √108
Rounding to the nearest tenth:
x ≈ 10.4
Therefore, the length of the other leg is approximately 10.4 ft.
round 500 to the nearest hundredths
To round 500 to the nearest hundredth, we need to look at the digit in the thousandths place (the second decimal place). Since this digit is 0, the digit to the immediate right of it (hundredth place) is also 0.
Therefore, rounding 500 to the nearest hundredth would result in 500.00, as there are no digits to round up or down.
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 is equal to the sum of the squares of the lengths of the two other sides.
Let's denote the length of the second leg as 'x'.
According to the Pythagorean theorem, we have:
(Length of first leg)^2 + (Length of second leg)^2 = (Length of hypotenuse)^2
6^2 + x^2 = 12^2
36 + x^2 = 144
Subtracting 36 from both sides:
x^2 = 108
To find 'x', we need to take the square root of both sides:
√(x^2) = √108
x ≈ 10.4 (rounded to the nearest tenth)
Therefore, the length of the other leg of the right triangle is approximately 10.4 feet.