Question

A square and a rhombus have same side length. What
is the ratio of the areas of square and rhombus if the
diagonals of the rhombus are in the ratio 1:2?​

Answer 1

Areas are 2:1

Area of square:Area of perimeter=a

2

:2(a

2

sinθ)=1:2sinθ

⇒sinθ=

2

1

⇒θ=30

0

Ratio of their diagonals=

d

2

d

1

=

2asin15

0

2acos15

0

=cot15

0

=2+

3