Q. 194.0( 4 Votes )

Find the area of

Answer :


To find the area of the triangle PQR, we first find the coordinates of points B and C.


A(2,-1) is the midpoint of PQ.


Midpoint of PQ:


x- coordinate = (x1 + x2) / 2


2 = (3 + x ) / 2


4 = 3 + x


x = 1


y-coordinate = (y1 + y2) / 2


-1 = (2 + y ) / 2


-2 = 2 + y


y = -4


Midpoint of QR:


x- coordinate = (x1 + x2) / 2


1 = (3 + z ) / 2


2 = 3 + z


z=-1


y-coordinate = (y1 + y2) / 2


2 = (2 + t ) / 2


4 = 2 + t


t = 2


Therefore, P(1,-4) and R(-1,2) and we know Q(3,2) already.
Now, we find the area of ΔABC,





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