hi i need help immediately on this question its due tommorrow:

The diagram below consists of a rectangle ABCD and a triangle DXY so that X and Y are points on the line segments AB and BC respectively and angle DXY = 90 degrees. If all th eline segments in the diagram have integer lenghts, then we call it a sophie diagram.

(i have attached the image of the diagram)

a) Show that DA = AX = XD

XB BY YX

Note: for a) there are supposed to be fraction lines in betweeen but i dont know how to put them in!

Thanks for the Help it means a lot!