[tex] \frac{AP}{PB}= \frac{2}{5} [/tex] ⇒ AB [tex]= \frac{5AP}{2} [/tex]
AP+PB = AB
AP + 1 = [tex]= \frac{5AP}{2} [/tex]
1 = [tex]= \frac{5AP}{2} [/tex] - AP
1 = [tex] \frac{5AP-2AP}{2} [/tex]
1 = [tex] \frac{3AP}{2} [/tex]
AP =[tex] \frac{2}{3} [/tex]
AB = AP + PB
AB = 1 + [tex] \frac{2}{3} [/tex]
AB = [tex] \frac{3+2}{3} [/tex]
AB = [tex] \frac{5}{3} [/tex]
Poti sa verifici , e corect . Multa bafta!