The coordinates of the points A, B, C are (0, 4), (2, 5) and (3 , 3) respectively. Prove that AB=BC and the angle ABC is a right angle.

The coordinates of points A, B, C and P are (6, 3), (-3, 5), (4, -2) and (x, y) respectively, prove that (DeltaPBC)/ (Delta ABC) = (x+y-2)/7

If the coordinates of the points A, B, C, D be (1, 2, 3) , (4, 5, 7) , ( 4, 3, 6) and (2, 9, 2) respectively, then find the angle between the lines AB and CD.

If the coordinates of the points A,B,C,D be (1,2,3),(4,5,7),(4,-3,6) and (2,9,2) respectively then find the angle between AB and CD.

The coordinates of the mid points of the sides "BC", "CA" and "AB" of a △ ABC are (3,3), (3, 4) and (2,4) respectively. Then the triangle "ABC" is

If the coordinates of midpoints of AB and AC of Δ A B C are (3,5) and (-3,-3) respectively, then write the length of side BC.

ABC is a right angled triangle, right-angled at A . The coordinates of B and C are (6, 4) and ((14, 10) respectively. The angle between the side AB and x-axis is 45^0 . Find the coordinates of A .

In the triangle ABC, vertices A, B, C are (1, 2), (3, 1), (-1, 6) respectively. If the internal angle bisector of angleBAC meets BC at D, then the coordinates of D are ((5)/(3),(8)/(3))

The coordinates of the mid points of sides AB, BC and CA of A B C are D(1,2,-3),\ E(3,0,1)a n d\ F(-1,1,-4) respectively. Write the coordinates of its centroid.

The coordinates of the mid points of sides AB, BC and CA of A B C are D(1,2,-3),\ E(3,0,1)a n d\ F(-1,1,-4) respectively. Write the coordinates of its centroid.

A triangle ABC right angled at A has points A and B as (2, 3) and (0, -1) respectively. If BC = 5 units, then the point C is