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)
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To find the length of the other leg in a right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse (c) is 22 and one leg (a) is 11.
Using the Pythagorean theorem, we can solve for the length of the other leg (b):
a^2 + b^2 = c^2
11^2 + b^2 = 22^2
121 + b^2 = 484
b^2 = 484 - 121
b^2 = 363
To find b, we take the square root of both sides:
b = √363 ≈ 19.07
Therefore, the length of the other leg is approximately 19.07 units.