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Explain why a triangle cannot have more than one obtuse angle.
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We'll consider the three angles of triangle as: A,B,C.
By definition, the sum of angles of a triangle is 180 degrees.
A+B+C = 180 degrees
We'll consider A as being the obtuse angle of the triangle ABC.
Therefore A>90 degrees.
Since A>90 degrees, then B+C < 90.
This tells us that B and C are acute angles.
Therefore, a triangle cannot have more than one obtuse angle.
Posted by giorgiana1976 on May 7, 2011 at 6:39 PM (Answer #1)
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