if the triangal having vertices A(a, 0),B(-a, 0) and C(0,3 `sqrt 3`) is equilateral, find a.

The vertices of a triangle are (a, 0), (-a, 0) and (0, sqrt(3a)) . Show that the triangle is equilateral.

Area of the triangle with vertices (k,0),(1,1) and (0,3) is 5 sq. units. Find the values of k.

Find the area of the triangle ABC having vertices A(-2, 3), B(-3, 4) and C(1, 2).

Find the area of the triangle whose vertices are (0, 0), (a, 0) and (0, b).

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0,-1),(2,1) and (0,3).Find the ratio of this area to the area of the given triangle.

Show that the quadrilateral with the vertices (0, 0), (a, 0), (a, a), (0, a) is a square.

Using determinant find the values of k so that the area of the triangle with vertices at the points (k,0),(4,0) and (0,2) is 4 sq units.

Find the area of the triangle whose vertices are.(i)(2,3),(-1,0),(2,-4)

Show that the quadrilateral with the vertices (3, 2), (0, 5), (-3, 2), (0, -1) is a square.

If three points (0,0), (-3,-6) and (3,x) form an equilateral triangle then the value of x will be __- a)2 b)-3 c)-4 d)None of these