Question 1

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Daca a, b, c sunt  lungimile laturilor unui triunghi ABC, atunci

a r i a space S subscript capital delta A B C end subscript space equals square root of p left parenthesis p minus a right parenthesis left parenthesis p minus b right parenthesis left parenthesis p minus c right parenthesis end root space space comma space u n d e space p equals fraction numerator a plus b plus c over denominator 2 end fraction space left parenthesis space f o r m u l a space l u i space H e r o n space right parenthesis

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Lungimile laturilor unui triunghi sunt 5 , 3, si 4.  Daca notam cu P perimetrul triunghiului, cu S aria triunghilui si cu h inaltimea corespunzatoare laturii de lungime mai mare,atunci :

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