(Solved): In the ammonia (NH3) molecule of figure, three hydrogen (H) atoms form an equilateral triangle, ...

In the ammonia $\left({\mathrm{NH}}_3\right)$ molecule of figure, three hydrogen $(H)$ atoms form an equilateral triangle, with the center of the triangle at distance $d=9.40\times 10^{?11}\mathrm{m}$ from each hydrogen atom. The nitrogen $(N)$ atom is at the apex of a pyramid, with the three hydrogen atoms forming the base. The nitrogen-to-hydrogen atomic mass ratio is 13.9 , and the nitrogen-to-hydrogen distance is $L=10.14\times 10^{?11}\mathrm{m}$. (a) What are the $\mathrm{x},\mathrm{y}$ and $\mathrm{z}$ coordinates of the molecule's center of mass?