The two sides of the parallelogram are 10 cm and 9 cm, from their common top, the heights were lowered

The two sides of the parallelogram are 10 cm and 9 cm, from their common top, the heights were lowered to the other two sides. the length of the largest of them is 6cm. Find the length of another height.

The area of the parallelogram is equal to the product of the height and the side to which this height is lowered. The higher height is lowered to the lower side, and vice versa. We can find the area by multiplying the length of the greater height by the length of the smaller side: S = 6 * 9 = 54 cm2. Also, the area is equal to the product of the lower height by the larger side, from here we can find the length of the lower height: h = S / 10 = 54/10 = 5.4 cm.