Answer:
PB = 1.8
Step-by-step explanation:
PQ = 8 cm, BC = 10 cm and AB = 9 cm
∆ABC is similar to ∆APQ.
Therefore:
[tex] \frac{AB}{AP} = \frac{BC}{PQ} [/tex]
Plug in the values
[tex] \frac{9}{AP} = \frac{10}{8} [/tex]
Cross multiply
AP × 10 = 8 × 9
AP × 10 = 72
Divide both sides by 10
AP = 7.2
PB = AB - AP
PB = 9 - 7.2
PB = 1.8
