(Q20) Find the area of the triangle whose vertices are (2,3) , (-1,0) and C(2,-4).
Given : A(2,3) , B(-1,0) and C(2,-4) are the vertices of a ∆ABC
Area of the triangle ABC,
=
1
2
|x
1
(y
2
-y
3
)+x
2
(y
3
-y
1
)+x
3
(y
1
-y
2
)|
=
1
2
|2(
+
) - 1(-
-
) + 2(
-
)|
=
1
2
|
|
=
2
=
1
2
sq. units
Clear