a)
To find:Whether the triangle can be solved using the Law of sines.
The Law of Sines can be used and the remaining values are
Given information:
The given data is
Formula used:
The Law of Sines is applicable when two angles and a non-included side (AAS) or two sides and a non-inlcuded angle (SSA)is given.
Calculation:
In the given figure, there aretwo angles and a non-included side (AAS)is given, so the Law of Sines can be used to solve for the triangle.
Find the angle
Use the Law of sines to find the side
Use the Law of sines to find the side
Therefore, the Law of Sinescan be used and the remaining values are
b)
To find:Whether the triangle can be solved using the Law of sines.
The Law of Sines cannot be used because the triangle is SAS.
Calculation:
In the given figure, there are two sides and their included angle (SAS) is given, so the Law of Sines cannot be used to solve for the triangle.
Therefore, the Law of Sines cannot be used because the triangle is SAS.
Chapter 5 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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