The side of the rhombus is 12 and the distance from the point of intersection of the diagonal

The side of the rhombus is 12 and the distance from the point of intersection of the diagonal of the rhombus to it = 4 find the area of the rhombus.

This is actually a fairly simple task.

There are several ways to solve it.

And we will choose the one that is most interesting.

If we mentally draw a circle in this very rhombus, then this is what happens.

Its center will be at the point of intersection of the diagonal.

Next, we need a formula for finding the area of a circle.

It looks like this: S = 2ar.

Now we substitute the values:

S = 2 * 4 * 12.

We consider, and we get that the area of the circle = 96.

And in this case, it is equal to the area of the rhombus.