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.