Question

7. One of the four angles of a
rhombus is 60°. If the length of
each side of the rhombus is 8
cm, then the length of the longer
diagonal is
answer-8/3 cm​

Answer 1

Answer:

Let ∠ABC=60∘

∠OBC=30∘

∴ Diagonals of Rhombus are the angles bisectors

In right△BOC

OBBC=Cos30∘

OB8=3–√2

OB=43–√

∴BD=2×OB

=2×43–√

=83–√cm