Question

The points A(1,4) B(-2,1) C(4,1) forms a triangle find its area​

Answer 1

Answer:

the area of the given triangle is 9 square units

Answer 2

Step-by-step explanation:

let

A(X1, Y1) = A(1,4)

B(X2, Y2) = B(-2,1)

c(X3,Y3) = c(4,1)

area of triangle =

½ [ X1 (Y2-Y3) + X2(Y3-Y1) + X3(Y1-Y2) ]

substituting values of A,B,C in formula

area of triangle ABC

= ½ [ 1(1-1) + -2(1-4) + 4(4-1) ]

= ½ [ 0 + 6 +12]

= ½ × 18

= 9