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Diagonals of a rhombus
 
The diagonals of a rhombus bisect each other at right angles (90°).
Try this Drag the orange dots on each vertex to reshape the rhombus. Notice the behavior of the two diagonals.

In any rhombus, the diagonals (lines linking opposite corners) bisect each other at right angles (90°).

That is, each diagonal cuts the other into two equal parts, and the angle where they cross is always 90 degrees. In the figure above drag any vertex to reshape the rhombus and convince your self this is so.

Area

The area of a rhombus can be found as half the product of the two diagonal lengths. For more on this see Area of a rhombus.
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Other polygon topics

General

Types of polygon

Area of various polygon types

Perimeter of various polygon types

Angles associated with polygons

Named polygons