(Q21) Find the area of the triangle whose vertices are (-5,-1) , (3,-5) , (5,2).

Given : A(-5,-1) , B(3,-5) and C(5,2) are the vertices of ∆ABC

Area of the ∆ABC,

=
1
2
|x1(y2-y3)+x2(y3-y1)+x3(y1-y2)|
=
1
2
|-5(- - )+3(+)+5(-+)|
=
1
2
||
=
2
= sq.units .