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Calculati lungimile diagonalelor unui patrat care are aria de 50 cm patrati.

Răspuns :

A=l²
50=l²⇒l²=5√2
diagonala=l√2⇒diagonala=5√2·√2=10 cm

l² = A
l =√ 50   l=√25×2⇔l=5√2
diagonala² : conform teoremei lui pitagora = (5√2)² + (5√2)² 
diagonala²= 50 +50
diagonala=√100=10 cm