In the figure, PQ || AB, CQ = 4.8 cm, QB = 3.6 cm and AB = 6.3 cm. If AP = x, length of AC in terms of x is
In ΔCQP and ΔCBA,
PQ||AB (Given)
By basic proportionality theorem, CQQB=CPAP4.83.6=CPAP43=CPAP
Adding 1 both sides, we get
43+1=CPAP+14+33=CP+APAP73=CP+APAP73=ACx
AC=73x units