In the triangle below, b = _____. If necessary, round your answer to two decimal places.

Answer:
b= 38.06
Step-by-step explanation:
Find the third angle by subtracting the others from 180 degrees= 110.4
Use the law of sines for the problem:
25/(sin38degrees) = b/(sin110.4degrees)
b= 25sin(110.4degrees)/sin(38degrees)
The answer once you put it into your calculator (make sure mode is degrees) should be about 38.06.
The value of b or measure of the side length is 38.05 units after applying the sin law in the triangle.
In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture with dimensions and angle
As we know in the triangle we can apply the sin law if the sides or angles are known to find the remaining unknown values.
The measure of the angle B = 180 - 31.6 - 38
The angle B = 110.4 degrees
Applying sin law in the triangle:
b/sinB = BC/sinA
b/sin110.4 = 25/sin38
b/sin110.4 = 40.60
b = (sin110.4)40.60
b = 38.05 units
Thus, the value of b or measure of the side length is 38.05 units after applying the sin law in the triangle.
Learn more about the triangle here:
brainly.com/question/25813512
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