Solve the​ triangle, if possible.     a=20.33​ cm, b=9.06cm, A=32.8° There is 1 possible solution to the triangle. The measurements for the remaining angles B and C and side c.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.5: The Law Of Sines
Problem 2E: The four cases in which we can solve a triangle are ASASSASASSSS a In which of these cases can we...
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Solve the​ triangle, if possible.
 
 
a=20.33​ cm,
b=9.06cm,
A=32.8°
There is 1 possible solution to the triangle. The measurements for the remaining angles B and C and side c.
Expert Solution
Step 1

Given

To Solve the​ triangle, if possible.

a=20.33​ cm,
b=9.06cm,
A=32.8°
There is 1 possible solution to the triangle.
Step 2

Solution

To find the measurements for the remaining angles B and C and side c.

To use sine law,

sinB=basinA           =9.0620.33sin32.8°           =0.2414        B=13.97°

The sum of three angles is equal to 180°.

Thus,

C=180°-13.97°-32.8°  =133.23°

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