Posted by **Anna-Marie** on Tuesday, January 29, 2008 at 6:18pm.

if you have two similar polygons and the scale factor is 3:5 and 12 times square root of 3 is one side, what is the cooresponding side

- geometry -
**Reiny**, Tuesday, January 29, 2008 at 6:30pm
let the other side be x

You don't say if 12SQRT(3) is a side in the smaller polygo, I will assume it is

then x/12SQRT(3) = 5/3

cross-multiply, and solve for x

If your given side is in the large polygon, then use

x/12SQRT(3) = 3/5

- geometry -
**Anna-Marie**, Tuesday, January 29, 2008 at 6:34pm
it the smaller side.. bt i don't know how to do the sq root

- geometry -
**Reiny**, Tuesday, January 29, 2008 at 6:43pm
x/12SQRT(3) = 5/3

3x = 60SQR(3)

x = 20SQR(3)

SQRT(3) = appr 1.7321 (use your calculator to find it)

so

x = 20(1.7321)

= 34.642 (appr)

In higher math classes you would leave the answer in the form of 20SQRT(3)

notice the ratio of 12SQRT(3)/20SQRT(3)

=12/20

= 3/5 or 3:5

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