Point $G$ is the midpoint of median $\overline{XM}$ of $ riangle XYZ$. Point $H$ is the midpoint of $\overline{XY}$, and point $T$ is the intersection of $\overline{HM}$ and $\overline{YG}$. Find the area of $ riangle MTG$ if $[XYZ] =150$.

Question

Point $G$ is the midpoint of median $\overline{XM}$ of $	riangle XYZ$. Point $H$ is the midpoint of $\overline{XY}$, and point $T$ is the intersection of $\overline{HM}$ and $\overline{YG}$. Find the area of $	riangle MTG$ if $[XYZ] =150$.

PsyDAG · Answer

Please only post your questions once. Repeating posts will not get a quicker response. In addition, it wastes our time looking over reposts that have already been answered in another post. Thank you.

Also post with the same name.

See your later post.

K · Answer

Duh, isn't it obvious? Janice is cheating by asking questions from her AoPS Geometry homework. This question has been asked by many others who are taking the same course. However, this will get you nowhere.

Point $G$ is the midpoint of median $\overline{XM}$ of $\triangle XYZ$. Point $H$ is the midpoint of $\overline{XY}$, and point $T$ is the intersection of $\overline{HM}$ and $\overline{YG}$. Find the area of $\triangle MTG$ if $[XYZ] =150$.