Question
The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. The length of this rectangle is ___ (the answer is not 12)
Answers
GPT 3.5
By using the Pythagorean theorem, we can find the length of the rectangle.
Let the length of the rectangle be L.
According to the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.
So, we have:
4^2 + L^2 = 13^2
16 + L^2 = 169
L^2 = 169 - 16
L^2 = 153
L = sqrt(153)
L ≈ 12.37 feet
Therefore, the length of the rectangle is approximately 12.37 feet.
Let the length of the rectangle be L.
According to the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.
So, we have:
4^2 + L^2 = 13^2
16 + L^2 = 169
L^2 = 169 - 16
L^2 = 153
L = sqrt(153)
L ≈ 12.37 feet
Therefore, the length of the rectangle is approximately 12.37 feet.