Remember the the amount of the inner angles that a triangle should be same to 180 degrees

so

substitute the given values

Find the length side b

substitute the values

105.7 = B due to the fact that a triangle is 180 levels total. If you add A and also C then you will gain 74.3 thus B need to be 105.7. You can tell this is correct since B is one obtuse angle is the photo and also in the answer.

You are watching: In the triangle below b= if necessary

The value of b is roughly 54.94 .

Explanation:

In the given figure two angles room given and according come the angle sum residential property the amount of inner angles of a triangle is 180 degree.

According come the legislation of sine,

From given figure,

Therefore, the value of b is 54.94.

b = 60.26

Step-by-step explanation:

To comfortably settle for b, us employ the SINE RULE

SINE RULE:

sinA/a = sinB/b = sinC/c

Where a, b and c room the sides (length) of the triangle

Where A, B , and also C are the angles of the triangle.

Comparing angle to settle for b, us have:

sinA/ a = sinB/b

sin46.7 / 44 = sin85.3 / b

Cross multiply to resolve for b, us have:

b * sin46.7 = 44 * sin85.3

b * 0.728 = 44 * 0.997

b = 43.868 / 0.728

b = 60.258

b = 60.26

First the all, us can uncover the edge B by utilizing the fact that the interior angles that a triangle sum up to 180:

Now use the law of sines, which claims that the ratio in between a side and also the sine the its opposite angle is constant. In particular, us have

Plug in the known values and solve because that b:

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