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wu :: forums    riddles    easy (Moderators: Eigenray, ThudnBlunder, towr, Grimbal, SMQ, william wu, Icarus)    Triangle inscribed in another triangle « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Triangle inscribed in another triangle  (Read 405 times) O09 Newbie     Posts: 6 Triangle inscribed in another triangle   « on: Nov 6th, 2009, 7:46pm » Quote Modify Prove that the triangles inscribed in the incircle of a given triangle have semi perimeter s1<= s/2 where s is the semi perimeter of the original triangle. When does equality hold? « Last Edit: Nov 7th, 2009, 6:29am by O09 » IP Logged Obob Senior Riddler     Gender: Posts: 489 Re: Triangle inscribed in another triangle   « Reply #1 on: Nov 6th, 2009, 9:12pm » Quote Modify I take it you mean the minimum perimeter?  The maximum perimeter would be assumed by the triangle itself. IP Logged O09 Newbie     Posts: 6 Re: Triangle inscribed in another triangle   « Reply #2 on: Nov 7th, 2009, 6:30am » Quote Modify Sorry for the mistake in the problem. See corrected version above. IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------=> easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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