Question

if x(3,1),Y(4,5)and z(-2,-1) are the coordinate of vertices then find thearea ofthe triangle xyz​

Answer 1

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Answer 2

Answer:

9 sq.units

Step-by-step explanation:

given triangle xyz with vertices x(3,1), y(4,5) and z(-2,-1)

x1=3, x2=4, x3=-2

y1=1, y2=5, y3=-1

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

                 =1/2[3(5-(-1))+4(-1-1)+(-2)(1-5)]

                 =1/2[3*6+4*-2+(-2)*(-4)]

                 =1/2[18-8+8]

                 =1/2*18

                 =9 sq.units.