Triangle ghost is a right triangle. The length of one leg is 11 and the hypotenuse is 22. What is the length of the other leg
To find the length of the other leg of the 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 legs.
Let's denote the length of the other leg as "x". Using the given information, we have:
x^2 + 11^2 = 22^2
x^2 + 121 = 484
x^2 = 484 - 121
x^2 = 363
To find the square root of both sides to solve for x:
x = √363
x ≈ 19.052
Therefore, the length of the other leg, rounded to three decimal places, is approximately 19.052 units.
No
I apologize for the confusion. Let's use the Pythagorean theorem again to find the correct length of the other leg.
According to the Pythagorean theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Let's denote the length of the other leg as "x". Using the given information, we have:
x^2 + 11^2 = 22^2
x^2 + 121 = 484
Therefore,
x^2 = 484 - 121
x^2 = 363
Taking the square root of both sides, we find:
x = √363
Since 363 is not a perfect square, we cannot simplify the square root of 363. Therefore, the length of the other leg is approximately √363 units long.