In triangle ABC, a = 12, _ B= 25°, and
C= 45°. Find b.

The value of b is 5.4

Explanation:

Given that ABC is a triangle.

It is also given that , and

We need to find the value of b.

The value of b can be determined using the law of sine formula, which is given by

First, we shall find the angle of A.

Since, ABC is a triangle and all the angles in a triangle add up to 180°

Thus, we have,

Thus, the value of angle A is 110°

Let us substitute these values in the law of sine formula.

Hence, we get,

Simplifying, we get,

Multiplying both sides of the equation by 0.423, we get,

Simplifying, we get,

Dividing, we have,

Thus, the value of b is 5.4

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