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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