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Geometry in bmo & smc

Do orthocentres, circumcentres, excentres of triangles ever appear in these math challenges? (i know that incentres and centroid has came up before, but do they come up frequently?)
(edited 1 year ago)

Reply 1

Original post
by yi123456
Do orthocentres, circumcentres, excentres of triangles ever appear in these math challenges? (i know that incentres and centroid has came up before, but do they come up frequently?)

Unlikely in smc and bmo1 which mainly relies on gcse circle theorems. Bmo2 may require circumcentre, centroid, orthocentre and incentre. Though a bit of basic knowledge about the incircle and circumcircle and how they relates to circle theorems/right triangles can come in handy.

Reply 2

Hi, thanks for the response!! Another question: does 3d geometry come up frequently in Bmo?

Reply 3

Original post
by yi123456
Hi, thanks for the response!! Another question: does 3d geometry come up frequently in Bmo?

Cant say Ive noticed it, so no (but dont use that as gospel). It does come up in the challenges.

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