If `r_1=r_2+r_3+r` prove that the triangle is right angled .

If in a triangle r_(1)=r_(2)+r_(3)+r ; Prove that triangle is right angled.

If 8R^(2)=a^(2) +b^(2) +c^(2). then prove that the Delta is right angled.

If in a triangle (1-(r_(1))/(r_(2)))(1-(r_(1))/(r_(3)))=2 then the triangle is right angled (b) isosceles equilateral (d) none of these

If r_(1) +r_(2)+ r = r_(3), then show that Delta is right angled.

Prove that a triangle is right angled if (1-(r_(1))/(r_(2)))(1-(r_(1))/(r_(3))) = 2

The sides of a triangle are in geometric progression with common ratio r lt 1. If the triangle is a right-angled triangle, then r is given by

If in a triangle ABC, r_(1)+r_(2)+r_(3)=9r , then the triangle is necessarily