Properties of TriangleHard
Question
In ᐃABC with usual notations, if A = 3C and acute angle between altitude from vertex A & angle bisector of vertex B is 60o, then (r is inradius & R is circumradius of ᐃ ABC)
Options
A.r = 
B.r = 
C.r = 
R
RD.ᐃ ABC is an equilateral triangle
Solution
∠B = 60o
A + C = 120o ⇒ A = 90o & C = 30o
r = (s - a) tan
= 4R sin 
⇒ r =
= 
= 
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