Problema Solution
In ∆ABC, if a = 8.75 centimeters, c = 4.26 centimeters, and m B = 87°, what is the length of b to two decimal places?
Answer provided by our tutors
This is not a word problem but can be calculated using the Law of Cosines.
we should this to apply the law of cosines:
b^2 = a^2 + c^2 - 2ac*cos(B)
Given that:
a = 8.75
c = 4.26
B = 87 degrees
so b^2 = (8.75)^2 + (4.26)^2 - 2*8.75*4.26*cos(87)
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b=9.5293
so the length of 'b' is approximately 9.53