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A parallelogram has sides of lengths 5 and 9, and one angle is 41°. What is the length of the smaller diagonal? length = units What is the length of the longer diagonal? length = units 

          A parallelogram has sides of lengths 5 and 9, and one angle is 41°.
What is the length of the smaller diagonal?
length = 
units
What is the length of the longer diagonal?
length = 
units
A parallelogram has sides of lengths 5 and 9, and one angle is 41°. What is the length of the smaller diagonal? length = units What is the length of the longer diagonal? length = units

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Precalculus with Limits
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Ron Larson 2nd Edition
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A parallelogram has sides of lengths 5 and 9 , and one angle is 41deg . What is the length of the smaller diagonal? length =, units What is the length of the longer diagonal? length =, units A parallelogram has sides of lengths 5and 9,and one angle is 41 What is the length of the smaller diagonal? length= units What is the length of the longer diagonal? length= units
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Transcript

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00:01 Ok, i want to find the length of this diagonal, the shorter one first.
00:05 Let's call it x.
00:07 I'll use the cosine rule, it's easier.
00:09 X squared is equal to 7 squared plus 8 squared minus twice 7 times 8 cosine 49 degrees.
00:22 Cosine rule you'll find on all formula sheets.
00:28 And that you work out on the calculator, 39 .52, which means x is the square root of that, which is 6 .286, 6 .29, correct to two decimal places.
00:49 That should be fine for the answer for the first one...
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