My problem can be describe by following image:
I know coordinates of an example
P point. Say, they are equal to
(8,8). I also know the length of
c sides of the triangle which are equal to
10. Now, how one can calculate the coordinates of
Thanks to @EmilioNovati answer to my other question ("How to calculate $B(x_1,y_1)$ when $\alpha$ and $A(x_0,y_0)$ are known?"), I found a solution to my problem with coordinates of triangle vertices.
First lets look at following drawing:
Now, in order to calculate $A(x_A,y_A)$, $B(x_B,y_B)$ and $C(x_C,y_C)$, one can do:
$x_C = x_P + a*cos(\alpha)$, $y_C = y_P + a*sin(\alpha)$;
$x_A = x_P + a*cos(\alpha+\beta)$, $y_A = y_P + a*sin(\alpha+\beta)$;
$x_B = x_P + a*cos(\alpha+\beta+\gamma)$, $y_B = y_P + a*sin(\alpha+\beta+\gamma)$.