Question

3. The angle between the diagonals of a rhombus is
(a) 120°
(b) 180°
(c) 90°
(d) 100%​

Answer 1

Answer:

ANSWER

Let the side of rhombus is a then diagonal is also a

The diagonal of rhombus cut each other at right angle angle of rhombus bisects in two equal part

If angle of one side is 2θ then half is θ

And half of diagonal =

2

a

Then sinθ=

a

2

a

=

2

1

=sin30

0

Then one angle of rhombus is 2×30

0

=60

And other is 180-60=120

0

Then both angle is 60

0

−−−120

0