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In a triangle ABC, the length of in-radius and circum-radius is 2 units and 6 units respectively. Find the distance (in units) between the…

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In a triangle ABC, the length of in-radius and circum-radius is 2 units and 6 units respectively. Find the distance (in units) between the in-centre and circumcentre.
  • A√3
  • B2√3
  • C3√3
  • D4√3
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Circum-radius = R = 6 units

In-radius = r = 2 units

d2 = R (R - 2r) = 6 (6 - 4) = 12

∴ d = 2√3 units