Question

One of the diagonal of a rhombus is equal to its sides. Find its angles?

Answer 1

Angles of rhombus are `60^@,120^@,60^@` and `120^@`

Explanation:

A rhombus has all its sides equal and as such

`AB=BC=CD=AD`

as `AC` too isequal to `BC`,

in `DeltaABC`, we have `AB=BC=AC`

and hence all angles of `DeltaABC` are `60^@`

Therefore, `DeltaADC` too would be equilateral.

and rhombus appears as follows

Hence, angles are `60^@,120^@,60^@` and `120^@`