The area of the rhombus is 10.5 dm2, its side is 1.5 dm. Determine its height.

It is known from the condition that the area of the rhombus is 10.5 dm ^ 2, and it is also known that its side is 1.5 dm. And we need to determine the height of the rhombus.

To find the height of the rhombus, we use the formula:

S = a * h.

The area of the rhombus is equal to the product of the side of the rhombus by the height dropped on it.

Next, we express the height of the rhombus from the formula using identical transformations.

So we get:

h = S / a;

It remains to substitute the values into the formula and calculate:

h = 10.5 / 1.5 = 7 dm rhombus height.

Answer: 7 dm.