The side lengths of a parallelogram are 6 cm and 16 cm, and the angle between them is 60°.Calculate | Mathematics | Page 1

ruby oasis Mar 5, 2023, 4:59 PM

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The side lengths of a parallelogram are 6 cm and 16 cm, and the angle between them is 60°.
Calculate the area of the parallelogram
Find the lengths of the parallelogram.

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the area is 48?

edgy charm Mar 5, 2023, 5:03 PM

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ruby oasis the area is 48?

What formula did u use?

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I m finding it to be 83.14

ruby oasis Mar 5, 2023, 5:05 PM

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edgy charm What formula did u use?

S = AB * BC * cos

edgy charm Mar 5, 2023, 5:09 PM

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ruby oasis S = AB * BC * cos

It's S=ABxBCxsin

ruby oasis Mar 5, 2023, 5:10 PM

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Ohh yeah, my bad

ruby oasis Mar 5, 2023, 5:10 PM

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edgy charm It's S=ABxBCxsin

any idea how to find lenghts?

edgy charm Mar 5, 2023, 5:11 PM

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I suppose length just means the perimeter.

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@ruby oasis

ruby oasis Mar 5, 2023, 5:16 PM

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edgy charm I suppose length just means the perimeter.

No, it's those lines who cross in parallelogram

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AC and BD

edgy charm Mar 5, 2023, 5:23 PM

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ruby oasis AC and BD

Ah u mean diagonals. Use the cosine rule.
c²=a²+b²-2abcosA

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Two angles of parallelogram are 60°. Other two would be 120° each

ruby oasis Mar 5, 2023, 5:24 PM

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a is 6 and b is 16?

edgy charm Mar 5, 2023, 5:27 PM

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Yes. c would be one of the diagonals. I can't tell which side is which, so angle would 60° for one diagonal and 120° for the other

ruby oasis Mar 5, 2023, 5:29 PM

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thank you very much

edgy charm Mar 5, 2023, 5:30 PM

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Np

ruby oasis Mar 5, 2023, 5:31 PM

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I have also other task which I don't know how to do and you probably do, could you help me?

#The side lengths of a parallelogram are 6 cm and 16 cm, and the angle between them is 60°.Calculate