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Solve a triangle using the Law of Cosines
Worksheet
Grade Level
Trigonometry
TRIG.117 Solve a triangle using the Law of Cosines
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Triangle MNP has MN = 27, MP = 43, and NP = 50. Which choice correctly finds angle M, opposite NP?
A
cos(M) = (27
2
+ 43
2
+ 50
2
)/(2(27)(43)); M = not possible
B
cos(M) = (27
2
+ 43
2
- 50
2
)/(2(27)(43)); M = 88 degrees
C
cos(M) = (50
2
+ 27
2
- 43
2
)/(2(50)(27)); M = 59 degrees
D
cos(M) = (50
2
- 27
2
- 43
2
)/(2(27)(43)); M = 92 degrees
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