/sci/ - Science & Math

Here's a fun recreational maths problem I came up with.

In picrel is an equilateral triangle whose vertices are at (-1,0), (1,0) and (0,sqrt(3)). Point is picked from inside and then shortest paths are drawn from that point to reach of the sides. Viviani's theorem says the sum of those lengths is eaqual to the height of the triangle.

Find coordinates for the point such that the orange line is twice as long as the green line, and the blue line is twice as long as the orange line.