Question

A parallelogram has sides with lengths of `16` and `8`. If the parallelogram's area is `24`, what is the length of its longest diagonal?

Answer 1

`23.905`

Explanation:

Area of parallelogram `=BxxH`
`24 =16xxH`, `=> H=3/2=1.5`

`A=sqrt(8^2-H^2)`
`A=sqrt(8^2-1.5^2) = 7.858`

The length of the longest diagonal :

`D=sqrt((16+A)^2+H^2)`
`=sqrt((16+7.858)^2+1.5^2)`
`=23.905`