A parallelogram has sides with lengths of #16 # and #9 #. If the parallelogram's area is #24 #, what is the length of its longest diagonal?
Length of the longest diagonal AC = 24.9193
Given Area of the parallelogram = l * h = 24 AE = DF = a = sqrt(w^2-h^2) = sqrt(9^2 - 1.5^2) = 8.8741# AF = l + a = 16 + 8.8741 = 24.8741# Longest diagonal AC
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To find the length of the longest diagonal of the parallelogram, we can use the formula for the area of a parallelogram:
Area = base × height
Given that the area is 24 and the base is 16, we can rearrange the formula to solve for the height:
Height = Area / Base Height = 24 / 16 Height = 1.5
Now, using the Pythagorean theorem, we can find the length of the longest diagonal:
Diagonal = √(Base² + Height²) Diagonal = √(16² + 1.5²) Diagonal ≈ √(256 + 2.25) Diagonal ≈ √258.25 Diagonal ≈ 16.07
So, the length of the longest diagonal of the parallelogram is approximately 16.07.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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