The closest length of the rectangle is 6 ft. and breadth is 10 ft. if the diagonal of the rectangle is 12 ft.
What is pythagoras theorem?
This theorem says that the square of hypotenuse of a right angled triangle is equal to the sum of the square of its base and height.
How to determine length and breadth?
We know that when a diagonal bisects a rectangle it makes two triangles which are right angled and the diagonal becomes the hypotenuse of the triangle. So the square of the hypotenuse is equal to the square of base and the square of the height.
[tex]12^{2} =BASE^{2}+HEIGHT^{2}[/tex]
So to check for length and breadth we have to put values in the above equation
1) 144=16+9 , 144 is not equal to 25
2) 144=16+64, 144 is not equal to 80
3) 144=36+100, 144 is not equal to 136 but it is closer
4) 144=64+324, 144 is not equal to 388
Hence the closest length is 6 ft. and the closest breadth is 10 ft.
Learn more about pythagoras theorem athttps://brainly.com/question/343682
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