Hard college geometry problem

[gravenewworld]

I've been stuck on this problem for over 2 hrs. The problem is that I have an isosceles triangle with legs measuring sqrt(5) each and the base measuring 2. I have to find a way to dissect the isosceles triangle into 4 triangles so that the 4 triangles can be arranged into a square. So far I know that obviously the side of the square has to be sqrt(2) since area iso triangle=area square=side of square^2. I also know that the legs of the isoceles triangle must be cut some how because there is no way a length of sqrt(5) will fit into a square with dimensions of sqrt(2)xsqrt(2). Please any hints or help would be vastly appreciated.

[Tide]

That's a good one! Hmm...!

[ehild]

I've been stuck on this problem for over 2 hrs. The problem is that I have an isosceles triangle with legs measuring sqrt(5) each and the base measuring 2. I have to find a way to dissect the isosceles triangle into 4 triangles so that the 4 triangles can be arranged into a square. So far I know that obviously the side of the square has to be sqrt(2) since area iso triangle=area square=side of square^2. .


Nice problem. It is against our principles, but I must show the solution. I just can't help . :smile:

ehild