Find the height of a rhombus whose side is 6.5 cm and the area is 26 cm.

From the condition it is known that the side of the rhombus is 6.5 cm, and the area of the rhombus is also known – 26 cm ^ 2. And we need to find the height of the rhombus.

We will start by recalling the formula for calculating the area of a rhombus through the length of the side and the height dropped on it.

S = a * ha.

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

Let us express the height from the formula:

ha = S / a;

We just have to substitute the values into the formula and make calculations:

ha = S / a = 26 / 6.5 = 4 cm length of height.

Answer: 4 cm rhombus height.