True or false:
Two angles and one side of a triangle do not necessarily determine unique triangle.
Answer to Problem 133CR
False. Two angles and one side of a triangle determine unique triangle.
Explanation of Solution
Given information:
The given statement is:
‘Two angles and one side of a triangle do not necessarily determine unique triangle.’
Know that:
The law of sines is given by the following expression:
Consider,
A triangle
Known value: Two angles:
Unknown values: one angle
Now by using the triangle sum theorem, the remaining angle
That means by using two angles and one side, unique triangle determines easily.
Hence, the given statement is false. The correct statement is:
Two angles and one side of a triangle determine unique triangle.
Chapter 6 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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