# The sides of the parallelogram are 3 cm and 6 cm, and the height drawn to the larger

The sides of the parallelogram are 3 cm and 6 cm, and the height drawn to the larger side is 3.5 cm. Calculate the height drawn to the smaller side.

Let’s find the area of ​​this parallelogram.

The area of ​​any parallelogram is equal to the product of the side of this parallelogram by the height of the parallelogram drawn to this side.

According to the condition of the problem, the side lengths of this parallelogram are 3 cm and 6 cm, and the length of the height drawn to the larger side is 3.5 cm, therefore, the area of ​​this parallelogram is 6 * 3.5 = 21 cm².

Find the length of the height h drawn to the smaller side.

Knowing the length of the smaller side and the area of ​​the parallelogram, we can make the following equation:

3 * h = 21.

We solve the resulting equation:

h = 21/3;

h = 7 cm.

Answer: the length of the height of the parallelogram drawn to the smaller side is 7 cm.

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