In a `Delta ABC, 2s=` perimeter and R = circumradius. Then, find `s/R.`

In a triangle ABC,r=

D E F is the triangle formed by joining the points of contact of the incircle with the sides of the triangle A B C ,\ prove that its sides are 2rcosA/2,\ 2rcosB/2\ a n d\ 2rcosC/2 where r is the radius of incircle of A B Cdot its angles are pi/2-A/2,pi/2-B/2a n dpi/2-C/2 its area is (r^2s)/(2R) where ' s ' is the semiperimter and R is the circumradius of the A B C .

In triangle ABC, let angle C = pi//2 . If r is the inradius and R is circumradius of the triangle, then 2(r + R) is equal to

In DeltaABC, R, r, r_(1), r_(2), r_(3) denote the circumradius, inradius, the exradii opposite to the vertices A,B, C respectively. Given that r_(1) :r_(2): r_(3) = 1: 2 : 3 The sides of the triangle are in the ratio

In DeltaABC, R, r, r_(1), r_(2), r_(3) denote the circumradius, inradius, the exradii opposite to the vertices A,B, C respectively. Given that r_(1) :r_(2): r_(3) = 1: 2 : 3 The greatest angle of the triangle is given by

In an equilateral triangle, the inradius and the circumradius are connected by r=4R b. r=R//2 c. r=R//3 d. none of these

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 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

ABC is an isosceles triangle inscribed in a circle of radius r. If AB=AC and h is the altitude form A to BC. If P is perimeter and A is the area of the triangle then find the value of lim_(hto0)(A)/(P^(3)) .

If R_(1) is the circumradius of the pedal triangle of a given triangle ABC, and R_(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)^(oo) R_(i) , where R (circumradius) of DeltaABC is 5 is