Question Triangle GHIGHI is a right triangle. The length of one leg is 11 and the hypotenuse is 22. What is the length of the other leg? Round your answer to two decimal places.(1 point)
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 hypotenuse is equal to the sum of the squares of the other two sides.
Let's denote the length of the other leg as x.
Using the Pythagorean Theorem, we have:
x^2 + 11^2 = 22^2
Simplifying, we get:
x^2 + 121 = 484
Subtracting 121 from both sides:
x^2 = 363
Taking the square root of both sides, we get:
x = √363 = 19.07 (rounded to two decimal places)
Therefore, the length of the other leg is approximately 19.07.
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.
In this case, we know that the length of one leg is 11 and the length of the hypotenuse is 22. Let's call the length of the other leg "x".
Using the Pythagorean theorem, we have:
11^2 + x^2 = 22^2
Simplifying this equation, we have:
121 + x^2 = 484
Now, let's solve for x:
x^2 = 484 - 121
x^2 = 363
Taking the square root of both sides, we find:
x = √363
Rounding the answer to two decimal places, we have:
x ≈ 19.07
Therefore, the length of the other leg is approximately 19.07.
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 length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
In this case, we are given the length of one leg as 11 and the hypotenuse as 22.
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, we get:
x^2 + 121 = 484
Subtracting 121 from both sides:
x^2 = 363
To find the value of x, we take the square root of both sides:
x = sqrt(363)
Calculating the square root of 363, we find:
x ≈ 19.07
Rounded to two decimal places, the length of the other leg is approximately 19.07 units.