Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A (2, 0), - Maths - Application of Integrals

Question

Using the method of integration find the area of the triangle
ABC, coordinates of whose vertices are A (2, 0), B (4, 5) and C (6,
3)

Gopal Mohanty · Accepted Answer

The vertices of ΔABC are A (2, 0), B (4, 5), and C (6, 3)

Equation of line segment AB is

Equation of line segment BC is

Equation of line segment CA is

Area (ΔABC) = Area (ABLA) + Area (BLMCB) – Area (ACMA)

Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A (2, 0), B (4, 5) and C (6, 3)