Been having some trouble with this problem, was wondering if anyone would be able to help me out.
Given: Two rectangles have dimensions in meters expressed as radical equations.
If the difference of the lengths of their diagonals is 2, find the dimensions of the rectangles.
Shown below:
ah pythagoras? I was using the diagonal formula(d^2= width^2+height^2) and got D=5x^2+4x+1
Care to tell me what answer I would get when using the pythagoram theorem so I know that I'm doing it right, I assumed I would have to find the diagonal first and then get the pythagorean equation for the two triangles.?
well, the first diagonal length is , and the second is
I believe the relative sizes of your rectangles in the sketch are backwards. the left one should be larger than the right ...
you know the difference in the lengths between the two diagonals is 2.
now solve for x and then determine the dimensions of each rectangle.