Question
Find the distance between the incentre and the circumcentre of a triangle with circumradius 6 and inradius 2?
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=2√3
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:
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=2√3
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