Whether the given statement is true or false and then justify.
Answer to Problem 58E
The given statement is false.
Explanation of Solution
Given:
Two angles and one side of the triangles do not necessarily determine a unique triangle.
Considering the triangle:
Referring to the above figure, the angle A,B and C and the sides are a,b and c which are opposite to them.
Considering that two angles B and C are provide with the side length a.
Hence, the third angle A can be determined from the equation:
According to the law of sin:
If the ABC is the triangle with the sides a,b and c opposite to the angle A,B and C respectively.
Then,
From the above expression all the angles are known and the side a is known. The unknown parameters are b and c and it can be evaluated by the above expression.
Therefore, the given statement is false.
Chapter 6 Solutions
EBK PRECALCULUS W/LIMITS
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