Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. But is it possible to find the area of a triangle if you know only the coordinates of its vertices? In this task, you’ll find out. Consider ΔABC, whose vertices are A(2, 1), B(3, 3), and C(1, 6); let line segment AC represent the base of the triangle. Part A
Find the equation of the line passing through B and perpendicular to .

Part B
Let the point of intersection of AC with the line you found in part A be point D. Find the coordinates of point D.