Question

if each angle of a triangle is less then the sum of the other two,show that the triangle is acute angled​

Answer 1

Question:If each angle of a traingle is less than the sum of the two others,show that the traingle is acute angled

Given:Traingle ABC in which

angle A<angle B+angle C

angle B<angle A+angle C

angle C<angle B+angle A

R.T.P:Traingle ABC is an acute angled traingle

proof:angle A<angle B+angle C(given)

angle A+angle A<angle A+angle B+angle C

2angle A<180°/2

angle A<180°\2

Angle A<90°

Similarly angle B<90°

and angle C<90°

Therefore traingle ABC is an acute angled traingle