The vertices of a quadrilateral are `(6, 3), (-3, 5), (4. -2)` and `(x, 3x)` and are denoted by `A, B,C` and `D`. respectively. Find the values of x so that the area of triangle ABC is double the area of triangle DBC.

Three vertices of a triangle are A (1, 2), B (-3, 6) and C(5, 4) . If D, E and F are the mid-points of the sides opposite to the vertices A, B and C, respectively, show that the area of triangle ABC is four times the area of triangle DEF.

Three vertices of a triangle are A (1, 2), B (-3, 6) and C(5, 4) . If D, E and F are the mid-points of the sides opposite to the vertices A, B and C, respectively, show that the area of triangle ABC is four times the area of triangle DEF.

Find the value of x if the area of triangle is 35 sq. units whose vertices are (x,4),(2,-6),(5,4).

Find the value of x if the area of triangle is 35 sq. units whose vertices are (x,4),(2,-6),(5,4).

Find the value of 'x' if the area of triangle is 35 square cm. With vertices (x,4),(2,-6) and (5,4).

Find the area of quadrilateral ABCD with vertices A(-4, -2), B(-3, -5), C(3,-2) and D(2,3).

Find the value of x if area of triangle is 13 sq.units with vertices (1,-1),(2,x) and (-3,5)

Find the value of x, if area of triangle is 35 square cms with vertices (x,4),(2,-6) and (5,4) .

The vertices of ABC are (-2,1),(5,4) and (2,-3) respectively.Find the area of the triangle and the length of the altitude through A.

Find the vertices and the area of the triangle whose sides are x=y, y=2x and y=3x+4 .