Question

calculate the area of triangle formed by the points A(5,3),B(-2,1)and C(2,4).
​

Answer 1

Step-by-step explanation:

formula for area of traingle joining the points is

1/2[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]

As per Question

x1=5,y1=3,x2=-2,y2=1,x3=2,y3=4

so applying to the formula

we get, 1/2[5(1-4)+(-2)(4-3)+2(3-1)]

= 1/2[5(-3)+(-2)(1)+2(2)]

= 1/2[-15-2+4]

= 1/2[-13]

= -6.5 sq.units

Therefore,area of the traingle is -6.5