Now look at this pictüre:

The line inside the large triangle is the bisector of the top angle. We want to find the coordinates of the point where it meets the bottom side. That is we have to find the coordinates of 'D .'

Prove that A(6,4),B(5,-2),C(7,-2) is an isosceles triangle. If D is the mid point of the side BC ,find the coordinates of D. Calculate the length of this median. Also find the coordinates of centroid.

We have seen that the points (3,5),(6,7),(9,9) are points on the same line. is there any relation between the 'x' coordinates 3,6 .and 9 of these points? What about the y coordinates 5,7,9 ? Can you find some more points on this line with natural number coordinates?

The coordinates of two opposite vertices. of a rectangles are '(7,8)' and '(1,3):' a) Without drawing coordinate axes, mark these points as the vertices of a rectangle with left-right, top-bottom positions correct. b) Find the coordinates of other two vertices. c) What is the length of its diagonals?

In Delta ABC A(6,8),B(3,4),C(-2,2) are its vertices. The bisector of /_A cuts BC at D. Find the coordinates of D.

Suppose the point with coordinates (-12,5) is on the terminal side of angle theta . Find the values of six trignometric functions of theta .