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

3 answers

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.