The heights of the parallelogram are 4 and 8. The greater height is lowered to the side equal to 6

univerkov | September 3, 2021 | education

The heights of the parallelogram are 4 and 8. The greater height is lowered to the side equal to 6. Find the other side of the parallelogram.

The area of a parallelogram is equal to the product of the length of the base and the height. Determine the area using the side CD and the height BK.

S = DC * BK = 6 * 8 = 48 cm2.

Let us determine the area using the HH height and the required base AD.

S = AD * BH = AD * 4.

Since the areas are the same, let’s equate their right-hand sides.

AD * 4 = 48.

AD = 48/4 = 12 cm.

Answer: The second side is 12 cm.

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