Question

How do you find the length of HI if GK=24,HJ=10, and GH=HI=IJ

Answer 1

Without the picture to go from, I'm assuming the points are in alphabetical order along the line.
HJ = HI+IJ=2HI
=>2HI=10
=>HI =IJ=GH =5

GK=HJ+JK
=>JK=24-(GH+HI+IJ)=24-15=9

So the answers are
1. 5
2. 5
3. 5
4. 9
5. 5+5=10
6. 5+9=14