What is the area of a rhombus with:

Question

Side=8 cm
Acute angle between one pair of sides=30 degrees

Please don't use trigonometry as I'm in Class 7.

Thanks in advance.

Answer 1

In your sketch that you made, you will notice that the diagonals right-bisect each other, creating 4 congruent right-angled triangles.

Each of them has angles 30:60:90 degrees
the ratio of sides for such a triangle is 1:√3:2
where 2 is the hypotenuse
Our hypotenuse is 8
so the other sides are 4 and 4√3
the area of one of them = (1/2)base x height
= (1/2)(4)(4√3)
= 8√3
= appr ....

Answer 2

Very nonsense