Answer:
VP = 21
ZP = 7
Step-by-step explanation:
Given:
VZ = 14
Required:
VP and ZP
Solution:
Since Z is the centroid, therefore:
⅔ of VP = VZ (centroid theorem)
Thus,
⅔(VP) = 14 (substitution)
Multiply both sides by 3
2(VP) = 14*3
2(VP) = 42
Divide both sides by 2
VP = 42/2
VP = 21
✅VZ + ZP = VP
14 + ZP = 21
ZP = 21 - 14 (subtraction property of equality)
ZP = 7
