Triangle G H I, is a right triangle. The length of one leg is 11 and the hypotenuse is 22. What is the length of the other leg? around your answer two decimal places.
Let the length of the other leg of the triangle be x.
Using Pythagorean theorem, we have:
x^2 + 11^2 = 22^2
x^2 + 121 = 484
x^2 = 484 - 121
x^2 = 363
Taking the square root of both sides, we have:
x = √363 ≈ 19.04
Therefore, the length of the other leg is approximately 19.04.
To find the length of the other leg in a right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the two legs.
Let's denote the length of the other leg as x. According to the Pythagorean theorem, we have:
x^2 + 11^2 = 22^2
Simplifying the equation:
x^2 + 121 = 484
Subtracting 121 from both sides:
x^2 = 363
Taking the square root of both sides to find x:
x = √363
Calculating the value of √363 to two decimal places, we have:
x ≈ 19.06
Therefore, the length of the other leg, rounded to two decimal places, is approximately 19.06.
To find the length of the other leg in a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's denote the length of the other leg as x.
According to the Pythagorean theorem,
x^2 + 11^2 = 22^2
Simplifying the equation:
x^2 + 121 = 484
Subtracting 121 from both sides:
x^2 = 363
To find the value of x, we can take the square root of both sides:
√(x^2) = √363
x ≈ 19.07
Therefore, the length of the other leg, rounded to two decimal places, is approximately 19.07.