Question
Using integration, find the area of the region bounded by the triangle whose vertices are (1, 0), (2, 2) and (3, 1).
Solution
Let A (1, 0), B (2, 2), C (3, 1) be the vertices of the given triangle. The equation of AB is
The equation of BC is
or
Consider
Let D be the foot of perpendicular from C (3, 1) on x-axis. Therefore, D is (3, 0).
Area of quad. ABCD =
The equation of AC is
or
Area of
The equation of BC is
or
Consider
Let D be the foot of perpendicular from C (3, 1) on x-axis. Therefore, D is (3, 0).
Area of quad. ABCD =
The equation of AC is
or
Area of
