Answer:
YZ = 30
Step-by-step explanation:
In Δ XYZ
∵ P is the centroid
∴ XC, YB, and ZA are the medians of the triangle
∵ Each median bisects its base
∴ A is the mid-point of XY
∴ B is the mid-point of XZ
∴ C is the mid-point of YZ
∵ C is the mid-point of YZ
∴ YC = ZC
∵ YC = 15
∴ ZC = 15
∵ YZ = YC + ZC
∴ YZ = 15 + 15
∴ YZ = 30
∴ The length of YZ is 30
