Question

if each angle of a triangle is lss than the sum of the other two, show that the triangle is acute triangle​

Answer 1

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 < 180° - ∠A [∠A + ∠B + ∠C = 180°]  

=> 2 ∠A < 180°  

=> ∠A < 90°  

So ∠A is an acute angle  

ΔABC is an obtuse angled triangle.

Answer 2

Answer:

I will send it back to you and your family and friends