Area of a Triangle 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
Angle ABC, 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 AC

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.

Part C
Use the distance formula to find the length of the base and the height of Angle ABC

Part D
Find the area of Angle ABC