Question

the point A(4, -2), B(7, 2), C(0, 9) and D(-3, 5) form a parallelogram. find the height of the parallelogram taking AB as the base.

Answer 1

In this question, we will use the formulae of getting the angle between two vectors. Since the base of this parallelogram is AB, then we get the angle DAB using vector D and Vector AB.

When we use the formulae, we get the angle DAB as 98.13°

Using the sine relationship, we can get the height.

The height is length DAsin98. 13°

9.899×0.9899=9.799units.

Find more details and calculations in the image below.