Răspuns:
Explicație pas cu pas:
AM = 3x+2
BM = x
AN = 6x+14
NC = 2x+3
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MN II BC
AB ; AC = ?
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AB = AM+BM = 3x+2+x = 4x+2 ;
AC = AN+NC = 6x+14+2x+3 = 8x+17
AM/BM = AN/NC
(3x+2)/x = (6x+14)/(2x+3) <=>
(6x+14)·x = (3x+2)(2x+3) =>
6x²+14x = 6x²+13x+6 =>
14x-13x = 6
x = 6
AB = 4x+2 = 4·6+2 = 24+2 => AB = 26 cm
AC = 8x+17 = 8·6+17 = 48+17 = > AC = 65 cm
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