Triangle G H I is a right angle. 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.
To find the length of the other leg, we can use the Pythagorean Theorem. According to the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the two legs.
Let's call the length of the other leg x. We know that one leg is 11 and the hypotenuse is 22. Therefore, we can write the equation as:
11^2 + x^2 = 22^2
Simplifying this equation, we get:
121 + x^2 = 484
Subtracting 121 from both sides, we get:
x^2 = 363
Taking the square root of both sides, we get:
x = √363
Rounding this to two decimal places, we get:
x ≈ 19.06
Therefore, the length of the other leg is approximately 19.06.
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Since Triangle GHI is a right angle triangle, we can use the Pythagorean theorem to find the length of the other leg.
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's call the length of the other leg x. We know that one leg is 11 and the hypotenuse is 22. Therefore, we can write the equation as:
11^2 + x^2 = 22^2
Simplifying this equation, we get:
121 + x^2 = 484
Subtracting 121 from both sides, we get:
x^2 = 363
Taking the square root of both sides, we get:
x ≈ 19.07
Therefore, the length of the other leg is approximately 19.07.
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 (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
In this case, we are given the length of one leg (a) as 11 and the length of the hypotenuse (c) as 22. We need to find the length of the other leg (b).
Using the Pythagorean theorem, we can set up the following equation:
a^2 + b^2 = c^2
Substituting the given values:
11^2 + b^2 = 22^2
Doing the math:
121 + b^2 = 484
To isolate the variable, subtract 121 from both sides:
b^2 = 484 - 121
b^2 = 363
To find the value of b, take the square root of both sides:
b = √363
Using a calculator, the square root of 363 is approximately 19.06.
Therefore, the length of the other leg (b) is approximately 19.06, rounded to two decimal places.