# The side of the parallelogram is 8 cm and 10 cm The lower height is 4 cm Find the second height

October 14, 2021 | education

| From the condition it is known that the sides of the parallelogram are 8 cm and 10 cm. It is also known that the lower height is 4 cm. Find the length of the second height.

For this we apply the formula for finding the area of a parallelogram:

S = a * ha.

The area of a parallelogram is equal to the product of a side by the height lowered to that side.

For a = 10 cm and height ha = 4 cm, we are looking for the parallelogram area.

S = 10 * 4 = 40 cm ^ 2.

For the second side, we write down the formula:

S = b * hb.

hb = S / b;

Substitute values and perform calculations:

hb = 40/8 = 5 cm second height.

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