%!

% builds the path outlining a square with corners
% (0, 0), (s, 0), (s, s), (0, s)

/buildsquare {
  0 0 moveto
  s 0 lineto
  s s lineto
  0 s lineto
  closepath
} def

/a 3 def
/b 4 def
/c a dup mul b dup mul add sqrt def

% find the vertex (x, y)

/x a c div a mul def
/y b c div a mul def

% and some analgous ratios
/X a c div b mul def
/Y b c div b mul def

% --------------------------------------------------------------

72 dup scale
1 72 div setlinewidth

2.5 5.5 translate

0.6  dup scale

% --- draw the three squares -------------------------------

/s c def
gsave
-90 rotate
newpath
buildsquare
stroke
grestore

/s a def
gsave
b a atan rotate
newpath
buildsquare
stroke
grestore

/s b def
gsave
c 0 translate
b a atan rotate
newpath
buildsquare
stroke
grestore

% --- the vertical line ------------------------------------------------

newpath
x y moveto
0 y c add neg rlineto
stroke

% --- the red triangle ------------------------------------------------

newpath
0 0 moveto
x y lineto
0 c neg lineto
closepath
gsave
1 0 0 setrgbcolor
fill
grestore
stroke

% --- the other triangles ------------------------------------------------

newpath
0 0 moveto
y neg x lineto
c 0 lineto
closepath
stroke

newpath
c 0 moveto
c X add Y lineto
0 0 lineto
closepath
stroke

newpath
c 0 moveto
x y lineto
c c neg lineto
closepath
stroke

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