Question

If each angle of a triangle is less than the sum of the other. two ,show that the triangle is acute angled ..

Hint .. Let. ​

Answer 1

ANSWER:-

Let ∠A<∠B+∠C. Then,

2∠A<∠A+∠B+∠C⇒2∠A<180°

⇒∠A<90°

Similarly, we obtain ∠B<90°and ∠C<90°

=> Each angle of the triangle is less than 90° and hence it is an acute-angled triangle.