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

## Answer this Question

## Related Questions

- math - if you have two similar triangles and the scale factor is 3:5 and 12 ...
- math/algebra - I have a triangle one side = 3 side 2 = square root5 - square ...
- math - if two polygons are similar,how can you find the scale factor from one ...
- geometry - the perimeters of 2 similar polygons are 20 and 28. One side of the ...
- 8 th grade math - each side of square is 6 in. long . a scale factor of 2/3 is ...
- geometry - The area of the larger of two similar polygons is 729 square ...
- 8 th grade math - each side of square is 6 in. long aq scale factor of 2/3 is ...
- geometry - How do you find the perimeter of a second polygon given just the ...
- Geometry - The side length of square ABCD is 1 unit. Its diagonal, AC, is a side...
- Geometry - The scale factor of triangle DEF to triangle HJK is 5/2. If EF =15 ...