+174 How many different isosceles right triangles can be formed from three dots in the grid below? Two examples are shown.
[asy]
unitsize(0.8 cm);
int i, j;
draw((0,1)--(1,2)--(0,2)--cycle,red);
draw((0,0)--(2,0)--(2,2)--cycle,blue);
for (i = 0; i <= 2; ++i) {
for (j = 0; j <= 2; ++j) {
dot((i,j),linewidth(5*bp));
}}
[/asy]
( 3x3 dot grid )
