Question

In a triangle ABC, if \( A = a \), \( B = 60^\circ \), and \( C = 75^\circ \), then \( b \) equals:

• A. \( \sqrt{3} \)
• B. \( \sqrt{6} \)
• C. \( \sqrt{9} \)
• D. \( 1 + \sqrt{2} \)

Hint:

Use the Law of Sines to find missing sides or angles in a triangle when you know certain angles or sides.

Answer 1

The Correct Option is B

Step 1: Use the Law of Sines.
Using the Law of Sines, we can find the value of \( b \) given the values of \( A \), \( B \), and \( C \). After calculation, \( b = \sqrt{6} \).
Thus, the correct answer is (2).