If vertices of a quadrilateral are at `A(-5, 7), B(-4, k), C(-1, -6) and D(4, 5)` and its area is 72 sq. units. Find the value of k.

If A(-5, 7), B(-4, -5), C(-1, -6) and D(4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

The four vertices of a quadrilateral are (1,2) (-5,6) (7,-4) and (k,-2) taken in order. if the area of the quadrilateral is 9 sq. units find the value of k.

If A(-2, -1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram, find the values of a and b.

Show that A(4,-1), B(6,0), C(7,-2) and D(5, -3) are vertices of a square.

If two vertices of a triangle are (1,3) and (4,-1) and the area of triangle is 5 sq. units, then the angle at the third vertex lies in :

The vertices of a triangle are (1,2), (h-3), and (-4,k). If the centroid of triangle is at the points (5,-1) then find the value of sqrt((h+k)^(2)+(h+3k)^(2))