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Question

The side opposite to an obtuse angle of a triangle is


A
Smallest
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B
Greatest
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C
Half of the perimeter
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D
None of these
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Solution

The correct option is B Greatest

Angles between $$ {90}^{o} $$ and $$ {180}^{o} $$ are obtuse angles.

Since, sum of angles in a triangle $$ = {180}^{o} $$

If one angle is obtuse, it will be the greatest angle as the other two angles will be acute angles such that the sum of the interior angles is $$ {180}^{o} .$$ 

The angles opposite to the sides will also have the same relation. 
Hence, the side opposite to the obtuse angle will be the greatest side of the triangle.

Mathematics

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