Q22 of 26 Page 1

Using the method of integration, find the area of the triangular region whose vertices are (2, - 2), (4, 3) and (1, 2).

Given vertices of the triangle: A(2, -2), B(4, 3), and C(1, 2).



First, we need to find the equations of the lines AB, BC, and CA.


We know that the equation of the line passing through points (x1, y1) and (x2, y2) is given by,



Therefore,


The equation of AB is,



The equation of BC is,



The equation of CA is,




Now, the area of a triangle can be divided into two triangles,






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