If `(a+b)/7=(b+c)/8=(c+a)/9` and `a,b,c` are the side of `triangleABC` ,then find the value of `R/r` where R is circumradius and r is inradius

Two sides of triangle ABC are 5 and 12. Area of DeltaABC=30 Find 2R+r where R is circumradius and r is inradius.

One side of equilateral triangle is x+y=3 , centroid is (0,0) , then r+R= (where r is inradius and R is circumradius)

If the area of the triangle ABC is a^(2)-(b-c)^(2), then its circumradius R=

If the area of the triangle ABC is a^(2)-(b-c)^(2) then its circumradius R is

In DeltaABC, angle C = 2 angle A, and AC = 2BC , then the value of (a^(2) + b^(2) c^(2))/(R^(2)) (where R is circumradius of triangle) is ______

In a triangle ABC, A - B =120 ^(@) and R = 8r, then the value of cos C is

In triangle ABC, R (b + c) = a sqrt(bc) , where R is the circumradius of the triangle. Then the triangle is

If R_1 is the circumradius of the pedal triangle of a given triangle A B C ,a n dR_2 is the circumradius of the pedal triangle of the pedal triangle formed, and so on R_3,R_4 then the value of sum_(i=1)^ooR_i , where R (circumradius) of A B C is 5 is 8 (b) 10 (c) 12 (d) 15

If a+2b+3c=4 ,where a,b,c in R^(+) and the greatest value of (abc) is "M",then the value of (8)/(M) is