Question

Q.36 A rhombus of side 20 cm has two angles of 60° each. Find the length of the diagonals.
​

Answer 1

Answer:

Step-by-step explanation:

hello,

for this question we will use trignometry

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

hope this helps,if  like it please mark it as brainliest

Read more on Brainly.in - https://brainly.in/question/1499889#readmore

Answer 2

hello,

for this question we will use trignometry

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