The sides of the parallelogram are 20 and 40. The height lowered to the larger side is 30.

| February 24, 2021 | education

The sides of the parallelogram are 20 and 40. The height lowered to the larger side is 30. Find the height lowered to the smaller side of the parallelogram.

Let’s find what is 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, lowered to this side.

According to the condition of the problem, the large side of this parallelogram is 40, and the length of the height lowered to the larger side is 30, therefore, the area S of this parallelogram is:

S = 40 * 30 = 1200.

Let us find what is the height dropped to the smaller side of the parallelogram of this parallelogram.

We denote it by h.

According to the condition of the problem, the smaller side of this parallelogram is 20, therefore, we can write the following ratio:

20 * h = 1200.

We find h from this ratio:

h = 1200/20;

h = 60.

Answer: the height lowered to the smaller side of the parallelogram of this parallelogram is 60.



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