In triangle ACE, P is the centroid, PF = 6 , and AD = 15 15. Find the measures of PC and AP. Enter your answers as numbers.

PC = 12 units

AP = 10 units

Step-by-step explanation:

In ΔACE

∵ P is the centroid of it

∴ P divides CF the ratio 2: 1 from C

∴ PC = 2 PF

∵ PF = 6 units

∴ PC = 2(6)

∴ PC = 12 units

∵ P divides AD at the ratio 2: 1 from A

→ That means AD = 2 + 1 = 3 parts, and AP = AD

∴ AP = AD

∵ AD = 15 units

∴ AP = AP = (15)

∴ AP = 10 units

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1