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 ten
Let's call the other leg of the right triangle "x".
According to the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b), we have:
x^2 + 6^2 = 12^2
Simplifying this equation, we have:
x^2 + 36 = 144
Subtracting 36 from both sides of the equation, we get:
x^2 = 108
To find the value of x, we take the square root of both sides:
x = √108
x ≈ 10.39
Therefore, the length of the other leg is approximately 10.39 feet, rounded to the nearest ten.