Question

Points g,h,and I are collinear and h is in between g and I. GH=12 and GI=23, what is HI?

Answer 1

`HI=11`

Explanation:

We have been given that points G, H and I are collinear and H is in between G and I.

`GH=12` and
`GI=23`

Since H is in between G and I, so length of GI will be equal to length of GH plus HI.

`GI=GH+HI`

Upon substituting our given values, we will get:

`23=12+HI`

`23-12=12-12+HI`

`11=HI`

Therefore, the length of HI is 11 units.

Answer 2

We are given that GH = 12 and GI = 23 and we are asked to find for HI.

Although the figure of the line relating all the points G, H and I are not given, we can simply solve this problem. Since points G, H and I are said to be collinear and point H is located in between points G and I, therefore this only means that:

length of GI = length of GH + length of HI

or

GI = GH + HI

Rearranging to find for HI:

HI = GI – GH

Substituting the given values into the equation:

HI = 23 – 12

HI = 11 (ANSWER)