Final answer:
The question requires finding the projected image of a triangle under perspective projection, which involves connecting vertices of the triangle to the center of projection and finding intersection points with the projection plane. However, the plane is not specified, hence the problem cannot be solved without more information.
Step-by-step explanation:
The question asks to find the image of a triangle under perspective projection with a given center of projection. To project the vertices of triangle S from a center (0,0,10), we would connect each vertex of the triangle to the center of projection and find where this line intersects the projection plane. However, since the question provides no specific projection plane, we cannot solve it without further information. If the projection plane was defined, the process would typically involve solving for the intersection points using the equations of the lines formed by connecting the center of projection to each vertex of the triangle and the equation of the projection plane. The resulting points give the projected vertices of the triangle, which in turn define the image under the perspective projection.