Chapter 8.3, Problem 9E

To determine

To find:

The barycentric coordinates ${\text{p}}_{\text{1}}$, ${\text{p}}_{\text{2}}$, ${\text{p}}_{\text{3}}$, ${\text{p}}_{\text{4}}$ and ${\text{p}}_5$ is in inside, outside, on the surface of conv S, or on the edge of conv S.