Question

A rhombus of side 20 cm has one of its angles 60°. Calculate the length of diagonals.

Answer 1

Answer:

nΔAOD

sin30°=AO/AD

1/2=AO/20

AO=10cm

∴diagonal AC=2AO=20cm

now

cos30°=OD/AD

√3/2=OD/20

OD=10√3cm

∴diagonal BD=2OD=20√3cm

Answer 2

inΔAOD

sin30°=AO/AD

1/2=AO/20

AO=10cm

∴diagonal AC=2AO=20cm

now

cos30°=OD/AD

√3/2=OD/20

OD=10√3cm

∴diagonal BD=2OD=20√3cm