Straight Lines ...

In figure, if the midpoints of segments $$\overline{GH}, \overline{JK}$$, and $$\overline{LM}$$ are connected, calculate the area of the resulting triangle.

Calculate the area of a triangle with vertices $$(1, 1), (3, 1)$$ and $$(5, 7)$$.

If P is a point on the line $$y = 2x$$ in the first quadrant, and the distance from the origin to point P is $$5$$, find the approximate coordinates of point P.

In the figure, calculate the distance from the midpoint to $$\overline{EF}$$ to the midpoint of $$\overline{GH}$$.

Find the area of a triangle whose vertices are $$(0, 6\sqrt {3}), (\sqrt {35}, 7)$$, and $$(0, 3)$$.

The area of the triangle with coordinates $$(1, 2), (5, 5)$$ and $$(k, 2)$$ is $$15$$ square units. Calculate a possible value for $$k$$.

Find the perimeter of the triangle with vertices $$(-2, 3), (4, 3),$$ and $$(6, -3)$$.

In fig., the area of triangle ABC (in sq. units) is:

In the XY-coordinate plane, how many points are at the distance of 4 units from the origin?

Find the value of $$x$$, so that the three points, $$(2, 7), (6, 1), (x, 0)$$ are collinear.