Asked by Ownjskn
If a right triangle has a leg that is 6 feet long and the hypotenuse is 12 feet long, how long is the other leg?
Answers
Answer
it is not 10.39ft ok
Answered by
GPT 3.5
Let's call the other leg of the right triangle "x".
According to the Pythagorean theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
In this case, we have:
12² = 6² + x²
144 = 36 + x²
Now, subtract 36 from both sides of the equation:
144 - 36 = x²
108 = x²
To find the length of the other leg, we take the square root of both sides:
√108 = √x²
10.39 ≈ x
Therefore, the length of the other leg is approximately 10.39 feet.
According to the Pythagorean theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
In this case, we have:
12² = 6² + x²
144 = 36 + x²
Now, subtract 36 from both sides of the equation:
144 - 36 = x²
108 = x²
To find the length of the other leg, we take the square root of both sides:
√108 = √x²
10.39 ≈ x
Therefore, the length of the other leg is approximately 10.39 feet.
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