Do the points (3, 2), (-2, -3) and (2, 3) form a triangle?

If the points A(1,-2) , B(2,3), C(a,2) and D(-4, -3) form a parallelogram, find the value of a and height of the parallelogram taking AB as base.

Find the area of the triangle formed by the points (2, 3), (6, 3) and (2, 6) by using Heron’s formula

If (x, y) is the incentre of the triangle formed by the points (3, 4), (4, 3) and (1, 2), then the value of x^(2) is

Show that the points (7,10), (-2, 5) and (3,-4) are the vertices of an isosceles right triangle

Show that the points (1, 2, 3), (-1, -2, -1), (2, 3, 2) and (4, 7, 6) are the vertices of a parallelogram.

If the area of the triangle formed by the points (2a,b), (a+b, 2b+a) and (2b, 2a) be Delta_(1) and the area of the triangle whose vertices are (a+b, a-b), (3b-a, b+3a) and (3a-b, 3b-a) be Delta_(2) , then the value of Delta_(2)//Delta_(1) is

Prove that the points (0, 0), (3, (pi)/(2)) and (3, (pi)/(6)) are the vertices of an equilateral triangle.

The coordinates of points A,B,C and D are (-3, 5), (4, -2), (x, 3x) and (6, 3) respectively and Area of (Delta ABC)/(Delta BCD)=(2)/(3) ,find x.

Points A(3,1), B(12, -2) and C(0,2) cannot be the vertices of a triangles.