Question 10
The diagram below shows a right triangle $ABC$. The perpendicular sides $AB$ and $AC$ have lengths $15$ cm and $8$ cm respectively. $D,F$ are points on $AB$, and $E,G$ are points on $AC$. The segments $CD,DE,EF,FG$ divide triangle $ABC$ into five triangles of equal area. The length, in cm, of only one of these segments is integral. What is that length?
