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The length of the diagonal which is to opposite of 100⁰ angle is:

diagonal length = √[152 + 82 - 2(15)(8)cos 100⁰]

diagonal length ≈ 18

The length of the diagonal which is to opposite of 100⁰ angle is:

diagonal length =√[152 + 82 - 2(15)(8)cos 80⁰]

diagonal length ≈ 16

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Q: Sides of a parallelogram are 15 cm and 8 cm. find the length of each diagonal if the larger angle is 100 degrees?
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Are all parallelogram have diagonal of equal length?

No. Most do not.


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A parallelogram can be split into what type of triangle?

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It cannot be determined. Think of a square and distort it as a rhombus. As the rhombus gets flatter, one of the diagonals becomes smaller and the other becomes larger. The same applies to a parallelogram. You can only determine the maximum or minimum length of the diagonals. The maximum is the sum of the two sides, the minimum is zero. Neither extreme is attainable but you can get as close to them as you like.


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What is the name for a parallelogram with all sides the same length and no angle measures 90 degrees?

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