Mathematics

When a line is drawn parallel to one side of a triangle, it creates similar triangles—and that means the ratios of corresponding sides must be equal. Here, $RS \parallel NP$ means triangle $MRS$ is similar to triangle $MNP$, so the ratio $\frac{MR}{MN}$ must equal $\frac{MS}{MP}$. Set up this proportion with your known lengths and solve for $x$.

When a line is drawn parallel to one side of a triangle, it creates similar triangles—and that means the ratios of corresponding sides must be equal. Here, $RS \parallel NP$ means triangle $MRS$ is similar to triangle $MNP$, so the ratio $\frac{MR}{MN}$ must equal $\frac{MS}{MP}$. Set up this proportion with your known lengths and solve for $x$.