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$(AH+BH+CH)^2\leq a^2+b^2+c^2$

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ngoctruong236

ngoctruong236

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$\bigtriangleup ABC$ nt(O,r).các đường cao $AD,BE,CF$.$H$ la trực tâm.CM

a)$(AH+BH+CH)^2\leq a^2+b^2+c^2$ ($a,b,c$ la 3 canh tam giac)

b) $a^2+b^2+c^2\geq 8\sqrt{3}p{R}'$ ($p$ là nửa chu vi tam giac $DEF$,${R}')$ la bán kính $(DEF)$


Edited by nguyentrunghieua, 07-07-2013 - 15:54.





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