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   Minecraft maestru (V)

   2013-06-07T04:00:07+03:00A raspuns pe 7 iunie 2013 la 4:00 AM

   andreitanase wrote: Se considera tri ABC cu AB=25,BC=39,CA=40 si cercul de centru I inscris in triunghi.Fie D apartine AB,E lui BC si F lui CA,puncte de tangenta ale cercului cu laturile triunghiului.
   a)raza cercului inscris in triunghiul ABC
   b)AD,BE,CF=?
   c)AI,BI,CI=?

   *** QuickLaTeX cannot compile formula:
   
   	\[\begin{array}{l}
   	 a) \\
   	 {\rm{AI}}{\rm{,BI}}{\rm{,CI = bisectoare}} \\
   	 {\rm{Razele ID = IE = IF sunt inaltimi in tri}}{\rm{. AIB}}{\rm{, BIC si AIC}} \\
   	 {{\rm{A}}_{AIB}} + {{\rm{A}}_{BIC}} + {{\rm{A}}_{AIC}} = {{\rm{A}}_{ABC}} \Rightarrow \frac{{25*r}}{2} + \frac{{39*r}}{2} + \frac{{40*r}}{2} = {{\rm{A}}_{ABC}} \Rightarrow r*\frac{{\overbrace {(25 + 39 + 40)}^{Perimetrul}}}{2} = {{\rm{A}}_{ABC}} \Rightarrow r*\overbrace {52}^p = {{\rm{A}}_{ABC}} \Rightarrow r = \frac{{{{\rm{A}}_{ABC}}}}{{52}},{\rm{unde }}p = {\rm{semiperimetrul}} \\
   	 {\rm{Formula lui Heron]
   	
   	
   
   *** Error message:
   \begin{array} on input line 9 ended by \end{document}.
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   Emergency stop.
   
   

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