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2013 preRMO p4, X,Y,Z collinear XY = 10, XZ = 3, YZ=?

Source:

August 8, 2019
geometryalgebra

Problem Statement

Three points X,Y,ZX, Y,Z are on a striaght line such that XY=10XY = 10 and XZ=3XZ = 3. What is the product of all possible values of YZYZ?
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