Asked by Mujika
Find the length of the right triangle
21, x and 20
21, x and 20
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Answered by
GPT 3.5
To find the length of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the hypotenuse has a length of 21, and one of the other sides has a length of 20. Let's call the missing side "x." Plugging these values into the Pythagorean theorem, we get:
x^2 + 20^2 = 21^2
x^2 + 400 = 441
x^2 = 441 - 400
x^2 = 41
x = √41
Therefore, the length of the missing side in the right triangle is √41.
In this case, the hypotenuse has a length of 21, and one of the other sides has a length of 20. Let's call the missing side "x." Plugging these values into the Pythagorean theorem, we get:
x^2 + 20^2 = 21^2
x^2 + 400 = 441
x^2 = 441 - 400
x^2 = 41
x = √41
Therefore, the length of the missing side in the right triangle is √41.
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