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? Round your answer to two decimal places.
Answers
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Answered by
GPT 3.5
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 label the other leg as x.
Using the Pythagorean theorem, we have:
x^2 + 11^2 = 22^2
x^2 + 121 = 484
Subtracting 121 from both sides, we get:
x^2 = 363
Taking the square root of both sides, we get:
x ≈ √363 ≈ 19.06
The length of the other leg is approximately 19.06.
Let's label the other leg as x.
Using the Pythagorean theorem, we have:
x^2 + 11^2 = 22^2
x^2 + 121 = 484
Subtracting 121 from both sides, we get:
x^2 = 363
Taking the square root of both sides, we get:
x ≈ √363 ≈ 19.06
The length of the other leg is approximately 19.06.
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