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?

A8.92 centimeters

B.9.41 centimeters

C9.53 centimeters
D13.01 centimeters
E15.36 centimeters

Verified Answer :

Hagrid

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

Answer:

C. 9.53 centimeters

Step-by-step explanation: