Respuesta :

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)

Answer:

[tex]HI=11[/tex]

Step-by-step explanation:

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

[tex]GH=12[/tex] and [tex]GI=23[/tex]

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

[tex]GI=GH+HI[/tex]

Upon substituting our given values, we will get:

[tex]23=12+HI[/tex]

[tex]23-12=12-12+HI[/tex]

[tex]11=HI[/tex]

Therefore, the length of HI is 11 units.

ACCESS MORE