Question

Arhombus of side 15 cm has two angles of 120° each. Find the length of the diagonals.​

Answer 1

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