# A parallelogram has sides with lengths of #16 # and #9 #. If the parallelogram's area is #144 #, what is the length of its longest diagonal?

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The length of the longest diagonal of the parallelogram can be calculated using the formula: Diagonal length = √(side1^2 + side2^2 + 2 * side1 * side2 * cos(angle))

Given that the sides of the parallelogram are 16 and 9, and the area is 144, we can find the angle between these sides using the formula for the area of a parallelogram: Area = base * height * sin(angle)

Using this information, we can find the angle between the sides. Once we have the angle, we can substitute it into the formula for the diagonal length to find the longest diagonal.

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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.

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- Find the equation of a line passing through #(1,1/2)# and making an angle #pi/6# to the line #y=1/2x#?

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