Question
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 to two decimal places.
Answers
GPT 3.5
In a right triangle, using the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the legs.
Let the length of the other leg be x.
According to the given information, the hypotenuse is 22 and one leg is 11.
Therefore, we can write the equation as follows:
x^2 + 11^2 = 22^2
This simplifies to:
x^2 + 121 = 484
Now, subtract 121 from both sides of the equation:
x^2 = 363
To find the value of x, take the square root of both sides of the equation:
x = √363
Using a calculator, you'll find that the square root of 363 is approximately 19.07.
Therefore, the length of the other leg, rounded to two decimal places, is approximately 19.07.
Let the length of the other leg be x.
According to the given information, the hypotenuse is 22 and one leg is 11.
Therefore, we can write the equation as follows:
x^2 + 11^2 = 22^2
This simplifies to:
x^2 + 121 = 484
Now, subtract 121 from both sides of the equation:
x^2 = 363
To find the value of x, take the square root of both sides of the equation:
x = √363
Using a calculator, you'll find that the square root of 363 is approximately 19.07.
Therefore, the length of the other leg, rounded to two decimal places, is approximately 19.07.