Question

One diagonal of a parallelogram is 17 cm long and makes an angles of 36 and 15 with the sides. How do you find the lengths of the sides?

Answer 1

`5.66,12.86`

Explanation:

ABCD is the parallelogram.

`AE=17cos15=16.42`
`CE=17sin15=4.4`
`CDsin51=4.4, => CD=4.4/sin51=5.66`

`DE=CDcos51=5.66cos51=3.56`
`AD=AE-DE=16.42-3.56=12.86`

Hence, side : `CD=AB=5.66`
`AD=BC=12.86`