This is a homework question
a)Assume an equilateral triangle ABC of a side AB = a = 10.The coordinate of A is (5, 3).The slope of the segment AB is 2.This triangle controls a curve.This smooth curve starts from the center of gravity G of the triangle with a slope 1.0 and is tangent at two points on segments AB and AC.These points are at 1/3a from B an C on segments AB and AC.Determine the equations for the smooth spline curve.
b)Assume the same triangle in 3 dimensions.The Z coordinates for each point is zero (Z = 0) to start with.This triangle is rotated by an angle 30 degree about the axis formed by the cord joining points A and C keeping center of gravity of triangle fixed.Determine the required transformation to rotate the triangle and spline curve.
please tell how to start solving this problem!!