Question

the points E,F,G and H all lie on the same line segment, in that order, such that ratio of EG:FG:GH is equal to 4:1:5. If EH=10, find EG

Answer 1

You have that the ratio of EG:FG:GH = 4:1:5.

Moreover, segment EH = 10.

In order to find EG you consider the following ratios:

EG/FG = 4/1

FG/GH = 1/5

Furthermore, EH = EG + FG + GH