Plotting scaled triangle

I have a triangle where I know all 3 side lengths, and all three angles.
I need a method to plot all 3 points relative to each other and scaled so the triangle width is 250 pixels or the triangle height is 250 pixels, whichever is greater without either width or height exceeding 250 pixels.
The start point is irrelevant as I have a function to reposition the points to draw the triangle in a bitmap...

I'd appreciate any assistance with this.