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Question
Find the distance between the incentre and the circumcentre of a triangle with circumradius 6 and inradius 2?
Find the distance between the incentre and the circumcentre of a triangle with circumradius 6 and inradius 2?
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Solution
The correct option is 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
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
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