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If each angle of triangle is less than the sum of the other two,show that the trangle is acute angled?
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If each angle of triangle is less than the sum of the other two,show t...
Let ∠A ∠B and ∠C  be the interior angles of ΔABC 

Each angle is less than the sum of the other two angles (given) 

Consider ∠A < ∠B + ∠C 

=> ∠A < 180deg - ∠A [∠A + ∠B + ∠C = 180deg] 

=> 2 ∠A < 180deg
=> ∠A < 90deg

So ∠A is an acute angle  


ΔABC is an obtuse angled triangle.

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