The end points of two line segments (the hypotenuses of red and blue right-angled triangles below) are given below with their coordinates marked separately on the $x$- and $y$-axes. These points are
- red triangle: $(0,1.13684)$ and $(1,1.13682)$
- blue triangle: $(0,1.1357)$ and $(1,1.1366)$.
Can you help to find the point of intersection $(X,Y)$ if these line segments were extended, and the acute angle $a$ between them? And please also show the working?