SOLUTION: In triangle MNP, angle N = 30 MN = 10 and MP = 6. Given this information angle P could be: choices are a) acute only b) right only c) acute or obtuse choice d) obtuse only

Algebra ->  Trigonometry-basics -> SOLUTION: In triangle MNP, angle N = 30 MN = 10 and MP = 6. Given this information angle P could be: choices are a) acute only b) right only c) acute or obtuse choice d) obtuse only       Log On


   

Question 436646: In triangle MNP, angle N = 30 MN = 10 and MP = 6. Given this information angle P could be: choices are a) acute only b) right only c) acute or obtuse choice d) obtuse only
Should I use the law of sines to figure it out? Help Thanks Gail
Answer by stanbon(75887) About Me  (Show Source):
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In triangle MNP, angle N = 30 MN = 10 and MP = 6. Given this information angle P could be: choices are a) acute only b) right only c) acute or obtuse choice d) obtuse only
Should I use the law of sines to figure it out? Help Thanks Gail
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Angle N is opposite side MP which is 6; and Angle N is 30 degrees
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MN is 10 so the angle opposite Angle P.
Note that MN is larger than MP; so Angle P must be larger than 30 degrees
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But, since the sum of the angles is 180 you only know that
P < 180-(30)
and than P > 30
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So P could be acute or obtuse.
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Note: If you sketch this information on a triangle
you will be able to see the conclusion.
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Cheers,
Stan H.