Puzzle of the Week #502 - Almost a Square

* Edited with input from Graham Holmes and Philip Morris Jones.

I don’t believe it is possible to dissect a square into four Pythagorean triangles (a Pythagorean triangle is a right-angled triangle where all the sides are whole numbers). But there are some rectangles that are close to a square that can be so dissected.

Can you dissect each of these rectangles into four Pythagorean triangles?

168 x 169

252 x 253

272 x 273

One of these uses four identical triangles, one uses two pairs of identical triangles, and one uses four different triangles (although two of the triangles are similar).