Question

why area of rhombus is not equal to area of square even both have equal four sides

Answer 1

??

Answer 2

if both have equal sides then why diagonal of rhombus are unequal while diagonals of square are equal..

Answer 3

How is this posssible??

Answer 4

A square is a rhombus with interior angles=90 degrees
And that area is max

Answer 5

Not interior I think opposite interior angles are equal

Answer 6

Yeah,You're correct.

Answer 7

So you're giving answers to your question !
That's why the diagonals are not equal.

Answer 8

If you find the diagonals of the square, both will be equal \(\sqrt 2 a\)
You can use the rhombus formula to find the area it'll pop as a^2

Answer 9

but how it is possible that angles differs to each others as same sides have same angles

Answer 10

Notice BD the diagonal is opposite to angle A
The other diagonal AC will be opposite to B
angle B and angle A are not equal
That's why
\[BD\ne AC\]

Answer 11

Do you get this?

Answer 12

trying to get this..

Answer 13

OK now listen that this is now parallelogram. If we want to make it rhombus then push BC towards AD and at the point when all the sides becomes equal then diagonals should become equal

Answer 14

It looks like a parallelogram, but it's a rhombus. The condition I wrote will hold true anyway, since consecutive angles are not equal