The sides of the parallelogram are 8 cm and 10 cm. The lesser of its heights is 4 cm. Find the second height.

To solve the problem, we will use the formula for the area of a parallelogram:
S = a * h, where a is the side of the parallelogram, h is the height drawn to this side.
In our case, the lower height is 4 cm and it is drawn to the larger side by 10 cm.Let’s find the area:
S = 10 * 4 = 40 cm².
Let’s denote the unknown height x and write down the formula for the area relative to the height x and the smaller side of 8 cm.
S = 8 * x = 40 cm².
x = 5 cm – second height.
Answer: the second height is 5 cm.