Coordinate Geom...

$$\triangle OPQ$$ is formed by the coordinates $$P(0,\,5),\, Q(8,\,0)$$ and origin $$O$$. The area of $$\triangle OPQ$$ is ____ square units.

Find coordinates of point which divides the line segment internally, joining the points $$(5,\,7)$$ and $$(9,\,12)$$ in ratio $$2:4$$.

Find coordinates of point which divides the line segment internally, joining the points $$(9,\,18)$$ and $$(1,\,2)$$ in ratio $$3:6$$.

The area of triangle with vertices $$A(0,\,9),\,B(0,\,4)$$ and $$C(-5,\,-9)$$ is

What is the area of the triangle for the following points $$(6, 2), (5, 4)$$ and $$(3, -1)$$?

Calculate mid point of $$A(5,\,3)$$ and $$B(9,\,8)$$

The area of the triangle whose vertices are $$(0, 1), (1, 4)$$ and $$(1, 2)$$ is ___ square units.

What is the midpoints between the coordinates $$(-1, 2)$$ and $$(-1, -6)$$?

Find the vertices of the triangle whose mid point of sides are $$(3, 1), (5, 6)$$ and $$(-3, 2)$$

What is the area of the triangle whose vertices are: $$(-3, 15), (6, -7) $$ and $$(10, 5)$$?