Question

in each angle of a triangle is less than the sum of other two so that a triangle is acute angle

Answer 1

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Answer 2

here is your answer OK dude


Let ∠A, ∠B and ∠C be the interior angles of ΔABC.

It is given that each angle is less than the sum of the other two angles.

Consider, ∠A < ∠B + ∠C

⇒ ∠A < 180° – ∠A [∠A + ∠B + ∠C = 180°]

⇒ 2∠A < 180°

⇒ ∠A < 90°

Thus, ∠A is an acute angle.

Infact, all the angles are acute.

Hence, ΔABC is an obtuse angled triangle.Let ∠A, ∠B and ∠C be the interior angles of ΔABC.