Given a triangle MPK with an obtuse angle K. Name the larger side of MP; PK; MK

There can be only one obtuse angle in any triangle, and since it is greater than 90 degrees, it is greater than any other corner of the triangle. Hence the angle K is the largest. The larger side lies opposite the larger angle, the MP side lies opposite the K angle, which means the MP side is the largest. Answer: MP.



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