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Find the distance between the incentre and the circumcentre of a triangle with circumradius 6 and inradius 2?


Options:
A .   32
B .   23
C .   10
D .   None of these
Answer: Option B
:
B

Use Eulers triangle theorem which states that the distance,d between the incentre and circumcentre of a trinagle is given by d2 = R(R-2r) where R = circum radius, r= inradius


d2 = R(R-2r) = 6(6 - 2 x 2) = 12


d=23


 



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