Find the area of DeltaABC when A 1 2 B 7 5 and C 5 7Solution

Find the area of DeltaABC, when A (1, 2), B (7, 5), and C (5, 7).

Solution

A (1,2)   , B (7,5) , C(5,7)

To find the area of triangle we have to use the following formula

Area= (A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y))/2

Area= (1(5-7) + 7(7-2) + 5(2-5))/2

Area= (-2 + 35 -15)/2

Area= 9