Mathematics

Problem

Triangle XYZ has sides

XY = 18\,\text{cm}

XZ = 30\,\text{cm}

and

YZ = 24\,\text{cm}

. Points

P

XY

and

Q

XZ

are chosen so that

PQ \parallel YZ

. If

XP = 6\,\text{cm}

, calculate

XQ