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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? A. 8.92 centimeters B.9.41 centimeters C. 9.53 centimeters D. 13.01 centimeters E.
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5 votes
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?

A. 8.92 centimeters
B.9.41 centimeters
C. 9.53 centimeters
D. 13.01 centimeters
E. 15.36 centimeters

User Frieda
by
7.2k points

2 Answers

6 votes

Answer:

C. 9.53 centimeters

Explanation:

User Adiyya Tadikamalla
by
7.6k points
5 votes
This problem can be solved by making use of the Cosine Law. In general form, it is:
b2 = a2 + c2 - 2ac cos B

The given values are:
a = 8.75 cm
c = 4.26 cm
B = 87°

Plugging in the values:
b2 = 8.75^2 + 4.26^2 - 2(8.75)(4.26) cos 87
b = 9.53 cm

So, the answer is:
C. 9.53 centimeters
User Luc VdV
by
7.3k points
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