# Finding the x- coordinate in triangle

Is it possible to find the point which is marked by question mark ? we know that the s1(x)=s2(x) (the areas of the two triangles are equal)

-
Also asked at stackoverflow.com/questions/12683048/… but I think it belongs here. – Ross Millikan Oct 2 '12 at 4:18

I don't think so. The point common to both triangles can be moved to the left, increasing the area of the blue triangle and making the line from $(x_2,y_2)$ through the common point miss the point ? entirely. Then the point ? can move down to add the required area. In essence we have four unknowns-the coordinates of the common point and the coordinates of ? but only three constraints-the area equality and the fact that the two line segments through the common point are straight.