In `Delta ABC` with usual notation `r_1/(bc)+r_2/(ca)+r_3/(ab)` is

In ABC with usual notations, if r=1,r_1=7 and R=3, the (a) ABC is equilateral (b) acute angled which is not equilateral (c) obtuse angled (d) right angled

In an equilateral triangle with usual notations the value of (27r^(2)R)/(r_(1)r_(2)r_(3)) is equal to

In a triangle ABC with usual notation b cosec B=a , then value of (b + c)/(r+ R) is

In a DeltaABC ,with usual notations, observe the two statements given below: (I) rr_(1)r_(2)r_(3)=Delta^(2) (II) r_(1)r_(2)+r_(2)r_(3)+r_(3)r_(1)=s^(2) Which one of the following is correct?

In Delta ABC , right angled at A, cos^(-1)((R )/(r_(2)+r_(3))) is

Statement I In a Delta ABC, if a lt b lt c and r is inradius and r_(1) , r_(2) , r_(3) are the exradii opposite to angle A,B,C respectively, then r lt r_(1) lt r_(2) lt r_(3). Statement II For, DeltaABC r_(1)r_(2)+r_(2)r_(3)+r_(3)r_(1)=(r_(1)r_(2)r_(3))/(r)

With usual notation in Delta ABC, the numerical value of ((a+b+c)/(r_(1)+r_(2)+r_(3))) ((a)/(r_(1))+(b)/(r _(2))+ (c)/(r_(3))) is

In any triangle ABC, find the least value of (r_(1) + r_(2) + r_(3))/(r)

If r_(1), r_(2) ,r_(3) are the ex-radii of DeltaABC, then prove that (bc)/(r_(1))+(ca)/(r _(2))+(ab)/(r _(3))=2R [((a)/(b)+(b)/a)+((b)/(c)+(c)/(b))+((c)/(a)+ (a)/(c))-3]

In DeltaABC, let b=6, c=10and r_(1) =r_(2)+r_(3)+r then find area of Delta ABC.