Triangle GHI
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)
THE ANSWER IS NOT 19.06
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's call the length of the other leg x. We have:
x^2 + 11^2 = 22^2
x^2 + 121 = 484
x^2 = 484 - 121
x^2 = 363
To find the length of x, we take the square root of both sides:
x = √363
x ≈ 19.06
Therefore, the length of the other leg 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 is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have the length of one leg as 11 and the hypotenuse as 22. Let's call the length of the other leg "x."
Using the Pythagorean theorem, we can set up the following equation:
11^2 + x^2 = 22^2
Simplifying this equation, we get:
121 + x^2 = 484
Next, we can subtract 121 from both sides of the equation:
x^2 = 484 - 121
x^2 = 363
To find the value of x, we need to take the square root of both sides of the equation:
√(x^2) = √(363)
x = √363
Using a calculator, we find that √363 is approximately equal to 19.06.
Therefore, the length of the other leg is approximately 19.06.
To find the length of the other leg of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In the given triangle, the hypotenuse is 22, and one leg is 11. Let's label the other leg as x.
Using the Pythagorean theorem, we can set up the equation as follows:
x^2 + 11^2 = 22^2
Simplifying the equation:
x^2 + 121 = 484
To isolate x^2, we subtract 121 from both sides:
x^2 = 484 - 121
x^2 = 363
Taking the square root of both sides to find x:
x ≈ √363
Evaluating the square root:
x ≈ 19.06
Therefore, the length of the other leg of the triangle is approximately 19.06 when rounded to two decimal places.