Question

A rhombus of side 20cm has two angle of 60 degree each. find the length of the diagonals​

Answer 1

Answer:

️‍️

$\huge \fbox \colorbox{lime}{Solution࿐}$

In ΔAOD

$\tt \: sin30°= \frac{AO}{AD}$

$\tt \frac{1}{2} = \frac{AO}{20}$

AO=10cm

∴ diagonal AC = 2AO = 20cm

️‍️

Now

$\tt cos30°= \frac{OD}{AD}$

$\tt \frac{√3}{2} = \frac{OD}{20}$

OD=10√3cm

∴ Diagonal BD = 2OD = 20√3cm.

_____________________________________