Properties of TriangleMedium
Question
Consider ᐃABC with their usual notations. Let x3 - αx2 + βx - γ = 0 has roots a,b and c, then -
Options
A.Perimeter of given triangle is α
B.Area of triangle is 
C.Inradius of the triangle is r = 
D.Cirumradius of triangle is R = 
Solution
(A) a + b + c = α = 2s = perimeter
s =
(B) x3 - αx2 + βx - γ = (x - a) (x - b) (x - c)
put x = s =
- γ = (s - a) (s - b) (s - c)
= s(s - a) (s - b) (s - c)
ᐃ =
(c) r =
(d) R =
s =
(B) x3 - αx2 + βx - γ = (x - a) (x - b) (x - c)
put x = s =
- γ = (s - a) (s - b) (s - c) = s(s - a) (s - b) (s - c) ᐃ =
(c) r =
(d) R =
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