Question
Which is the length of the unknown leg of a right triangle that has one length of 8 feet and a hypotenuse of 12 feet
Answers
GPT 3.5
To find the length of the unknown leg, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let's represent the length of the unknown leg as x. We know that one leg is 8 feet and the hypotenuse is 12 feet. Using the Pythagorean theorem:
12^2 = 8^2 + x^2
144 = 64 + x^2
x^2 = 144 - 64
x^2 = 80
Taking the square root of both sides, we find:
x = √80
Therefore, the length of the unknown leg is approximately 8.94 feet.
Let's represent the length of the unknown leg as x. We know that one leg is 8 feet and the hypotenuse is 12 feet. Using the Pythagorean theorem:
12^2 = 8^2 + x^2
144 = 64 + x^2
x^2 = 144 - 64
x^2 = 80
Taking the square root of both sides, we find:
x = √80
Therefore, the length of the unknown leg is approximately 8.94 feet.