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Triangle ABC is given where A = 42°, a = 3, and b = 8. How many distinct triangles can be made with the given measurements? Explain your answer.

Sagot :

Four distinct triangles can be made with the given measurements.

How to analyze a triangle based on known angles and sides

Let suppose that letter of the angle corresponds to the angle opposite to the side with same letter within a triangle. There are four possibilities of connecting ends between sides [tex]a[/tex] and [tex]b[/tex], which is equivalent to the number of possible distinct triangles. Hence, we conclude that four distinct triangles can be made with the given measurements.

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