The side of the rhombus is 12 and the distance from the point of intersection of the diagonal
March 1, 2021 | education
| 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.
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