Question

In AXYZ, P is the centroid and YC = 15.
Find the length of YZ

PLEASE HELP!

Answer 1

YZ = 30

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