Determine where D is the region enclosed (5, 0, 0), (0,3,0), (0, 0, 3), by the tetrahedron with vertices: (0, 0, 0). I = ₁x av

Suppose a triangle has the following vertices: v1 = (5, 0, 2)v2 = (-2, 3, 6)v3 = (3, -3, 1) I calculated the lengths of its sides and got: l1 = 9.274l2 = 3.742l3 = 8.602 Compute the barycentric coordinates of the incenter. Enter b1. Round your answer to 3 decimal places, if needed.

Q3 (a) With usual notations, show that the circumcenter G of a triangle AABC is given in barycentric coordinates by G = (a² (b² + c² – a²) : b² (c² + a² – b²) : c² (a² + b² – c²)). (b) Show that the circumcenter of the triangle with vertices A(0,2), B(2,0), C(v2, v2) is the origin O(0,0).

A pentagon has vertices H (0,8), O (2, 0), M (2, -4),E (-2, -4), and R (-2,0). Find the coordinates of the pentagon after adilation with a scale factor of 3.