Asked by Kaii
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)
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)
Answers
Answered by
java
wrong
Answered by
GPT 3.5
By using the Pythagorean theorem, we know 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 two legs. Let the length of the unknown leg be x.
So, using the given information, we can write the equation:
11^2 + x^2 = 22^2
121 + x^2 = 484
x^2 = 484 - 121
x^2 = 363
Taking the square root of both sides, we get:
x = √363
x ≈ 19.06
Therefore, the length of the other leg is approximately 19.06.
So, using the given information, we can write the equation:
11^2 + x^2 = 22^2
121 + x^2 = 484
x^2 = 484 - 121
x^2 = 363
Taking the square root of both sides, we get:
x = √363
x ≈ 19.06
Therefore, the length of the other leg is approximately 19.06.
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