Respuesta :

Answer:

VP = 21

ZP = 7

Step-by-step explanation:

✔️Given that z is the centroid, thus, based on the centroid theorem:

[tex] VZ = \frac{2}{3}(VP) [/tex]

VZ = 14

Plug in the value of VZ into the equation

[tex] 14 = \frac{2}{3}(VP) [/tex]

Multiply both sides by 3

[tex] 14 \times 3 = \frac{2}{3}(VP) \times 3 [/tex]

[tex] 42 = 2(VP) [/tex]

Divide both sides by 2

42/2 = VP

21 = VP

VP = 21

✔️ZP = VP - VZ

ZP = 21 - 14

ZP = 7

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