SOLUTION: Use a proportion to find the unknown length in the pair of similar figures. These both sahpes are triangles. Figure A. Figure B.

Question 309928: Use a proportion to find the unknown length in the pair of similar figures.
These both sahpes are triangles.
Figure A. Figure B.

CB= 144cm IH= 108cm
AC= 24cm GH= 126cm
AB= 168cm GI= _______
Please before 10:00 pm
I will be dead if i do not hand this sheet in tomorrow.
Thanks
Answer by toidayma(44) (Show Source): You can put this solution on YOUR website!
Well, first, you have to figure out which sides of the triangle ABC is proportional to which side of the triangle GHI.
Because two triangles are similar, we must have something like a/g = b/h (a,b are sides of ABC; g,h are sides of GHI), this leads to a/b = g/h.
Since we already know the length of two sides of triangle GHI, we will use this proportion to determine which two sides of ABC is proportional to IH and GH.
This means: IH/GH is equal to a ABC's side/another ABC's side.
IH/GH = 108/126 = 6/7.
Which two sides of ABC has this proportion?
AC/BC = 24/124, too small, this cant not equal to 6/7
AC/AB = 24/168, too small, this cant not equal to 6/7
BC/AB = 144/168 = 6/7. Bingo! So BC/AB = IH/GH or BC/IH = AB/GH = 124/108 = 31/27.
This proportion must also be equal to AC/GI, which means 24/GI = 31/27 or GI = 24*27/31 = 648/21 ~ 20.9(length unit).
Is it clear?
RELATED QUESTIONS
So there are two similar triangles, The larger one has (A)side that measures 34 ft, and... (answered by edjones)

Fundamental Ideas Points, Lines, and Planes Postulates and Theorems Segments,... (answered by richard1234)

The triangles in each pair are similar. Find the unknown side length. click for link: (answered by Paul)

a. Determine whether group A or group B (or both) show a pair of similar triangles or... (answered by greenestamps)

There are pictures that went with the question and I tried to copy them over but they... (answered by MathLover1)

Find the missing length. The triangles in each pair are... (answered by richard1234)

Please help Seth is using the figure shown below to prove the Pythagorean Theorem... (answered by Boreal)

Past records show that 4 of 135 parts are defective in length, 3 of 141 are defective in... (answered by CPhill)

For a pair of similar figures, find the length of 2 unknown sides (that is, those two... (answered by Earlsdon)