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.
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To find the length of the other leg in a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem 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 denote the length of the other leg as x. Given that one leg is 11 and the hypotenuse is 22, we can write the equation:
11^2 + x^2 = 22^2
Simplifying this equation, we have:
121 + x^2 = 484
Now, we need to isolate x^2 by subtracting 121 from both sides:
x^2 = 484 - 121
x^2 = 363
To find the length of the other leg, we can take the square root of both sides:
x = √363
Calculating this value, we get:
x ≈ 19.07
Therefore, the length of the other leg is approximately 19.07 units, rounded to two decimal places.
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 hypotenuse is equal to the sum of the squares of the two legs.
Let the length of the other leg be x. According to the given information, the length of one leg (which is 11) and the hypotenuse (which is 22):
11^2 + x^2 = 22^2
121 + x^2 = 484
x^2 = 484 - 121
x^2 = 363
x = √363
x ≈ 19.06
Therefore, the length of the other leg of triangle GHI is approximately 19.06.