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Question
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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The length of the other leg can be found using the Pythagorean theorem, which 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, one leg is 11, the hypotenuse is 22, and the length of the other leg will be b.
So, we can set up the equation:
$$11^2 + b^2 = 22^2$$
$$121 + b^2 = 484$$
$$b^2 = 484 - 121$$
$$b^2 = 363$$
$$b = \sqrt{363}$$
$$b ≈ 19.05$$
Therefore, the length of the other leg is approximately 19.05.