# A parallelogram has sides with lengths of #15 # and #8 #. If the parallelogram's area is #96 #, what is the length of its longest diagonal?

##### 1 Answer

Sep 18, 2016

#### Explanation:

ABCD is the parallelogram.

Parallelogram area

where b=base, h=height

Given

Note that triangle CDE is a right-angled triangle :

Again, note that triangle CAE is also a right-angled triangle: