Question

A rhombus of side 20cm has two angles of 60° each.Find the length of the diagonals.​

Answer 1

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Answer 2

$\bf\small{\pink{in \: ΔAOD}}$

$\bf\small{\pink{sin30°=AO/AD}}$

$\bf\small{\pink{1/2=AO/20}}$

$\bf\small{\pink{AO=10cm}}$

$\bf\small{\pink{∴diagonal \: AC=2 \: AO=20cm}}$

now

$\bf\small{\pink{cos30°=OD/AD}}$

$\bf\small{\pink{√3/2=OD/20}}$

$\bf\small{\pink{OD=10√3cm}}$

$\bf\small{\blue{∴diagonal \: BD=2OD=20√3cm}}$