Question

Two opposite sides of a parallelogram have lengths of `8`. If one corner of the parallelogram has an angle of `pi/8` and the parallelogram's area is `15`, how long are the other two sides?

Answer 1

Other two sides are `4.9` unit long.

Explanation:

Area of the parallelogram is `A_p=s_1*s_2*sin theta`

Where `s_1=8,s_2=?,theta=pi/8=22.5^0` are the adjacent

sides and corner angle respectively.

`A_p=15 :. 15=8*s_2*sin22.5 or s_2= 15/(8*sin22.5)` or

`s_2 ~~4.9` unit. Other two sides are `4.9` unit long. [Ans]