Question

The points F, G, H and I all lie on the same line segment, in that order, such that the

ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.

Answer 1

10

Explanation:

Given line:

F G H I

FI = 18

Unknown:

FH = ?

Solution:

To find the line FH, we use the ratio given;

FG : GH: HI

3 : 2 : 4 ; Total = 3 + 2 + 4 = 9

Since FI is 18;

FH =
`(3 + 2)/(9)` x 18 =
`(5)/(9) x 18` = 10

FH = 10