Question

determine a posição do ponto p que divide internamente o segmento AB de medida igual a 40 cm na razão 3/5.

A_________P____________B

Answer 1

PA/PB = 3/5
( PA + PB)/PA = ( 3 + 5 )/3
40/PA  = 8/3
8PA = 40 * 3
8PA = 120
PA = 120/8 = 15 ***
PB = 40 - 15  =25 ****

Answer 2

PA/PB = 3/5
 
PA +PB/ PA = 3 + 5/3
40 /PA = 8/3
PA = 120/8= 15cm

 PA +PB /PB = 3 + 5/5
40 /PB =8/5
PB = 200/8 = 25cm