Given triangles, XZW and XZY are right-angle triangles.
Using the Pythagorean theorem for XZW, we get
[tex]XZ^2+WZ^2=WX^2[/tex]Using the Pythagorean theorem for XZY, we get
[tex]XZ^2+XY^2=ZY^2[/tex][tex]XZ^2=ZY^2-XY^2[/tex]Using the Pythagorean theorem for WXY, we get
[tex]WX^2+XY^2=WY^2[/tex][tex]undefined[/tex]