Question

the points A(4,-2),B(7,,2),C(0,9) and D(-3,5) from a parallelogram. Find the length of the altitude of the parallelogram on the base AB.

Answer 1

Area of the triangle ABC

Since ABCD is a parallelogram,

therefore area of parallelogram ABCD = 2 x area of triangle ABC = 2 x 12 = 24 square units

Area of the parallelogram = 

Thus height of the parallelogram = 

Let us find the base AB of the parallelogram.

Thus,