In the plane, given an angle Axy.
a) Given a triangle MNP of area T, describe how to construct a triangle of given area T and altitude h. Using this, describe how to construct parallelogram ABCD with two sides lying on Ax and Ay, the area T and the distance between the two opposite sides equal to d given.
b) From an arbitrary point I on the line CD, construct a line that intersects the lines AB, BC, AD at E, G and F respectively so that the area of triangle AEF is equal to the area of parallelogram ABCD.
c) Apply the above two sentences: Given any point O in the plane. From O, construct a line that intersects two rays Ax and Ay at E and F respectively so that the area of triangle AEF is equal to the area of any given triangle. geometryconstructionareas