If `r_1,\ r_2a n d\ r_3` be the radii of excircles of the triangle `A B C ,` then `(sumr_1)/(sqrt(sumr_1r_2))` is equal to `sumcotA/2` (b) `sumcota/2cotB/2` `sumtanA/2` (d) `prodtanA/2`

In triangle ABC, if r_(1) = 2r_(2) = 3r_(3) , then a : b is equal to

In triangle ABC, of r_(1)= 2r_(2)=3r_(3) Then a:b is equal :-

In a triangle ABC,if 1/r_1^2+1/r_2^2+1/r_3^2+1/r^2=

In triangle A B C , if r_1=2r_2=3r_3, then a : b is equal to 5/4 (b) 4/5 (c) 7/4 (d) 4/7

lim_(n->oo)1/nsum_(r=1)^(2n)r/(sqrt(n^2+r^2)) equals

In triangle A B C , let /_c=pi/2dot If r is the inradius and R is circumradius of the triangle, then 2(r+R) is equal to a+b (b) b+c c+a (d) a+b+c

In a triangle ABC , if r_(1) =2r_(2) =3r_(3) , then a:b:c =

Let A B C be a triangle with incenter I and inradius rdot Let D ,E ,a n dF be the feet of the perpendiculars from I to the sides B C ,C A ,a n dA B , respectively. If r_1,r_2a n dr_3 are the radii of circles inscribed in the quadrilaterals A F I E ,B D I F ,a n dC E I D , respectively, prove that (r_1)/(r-1_1)+(r_2)/(r-r_2)+(r_3)/(r-r_3)=(r_1r_2r_3)/((r-r_1)(r-r_2)(r-r_3))

In triangle A B C , let /_c=pi/2dot If r is the inradius and R is circumradius of the triangle, then 2(r+R) is equal to (a) a+b (b) b+c (c) c+a (d) a+b+c

In a triangle ABC prove that a(rr_1+r_2r_3)=b(rr_2+r_3r_1)=c(rr_3+r_1r_2)=abc