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
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
it the smaller side.. bt i don't know how to do the sq root
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
To find the corresponding side of the larger polygon, we need to use the scale factor and the given length of one side of the smaller polygon.
Let's assume that the length of the corresponding side in the larger polygon is "x."
The scale factor is given as 3:5, which means the corresponding sides are in the ratio of 3 to 5. Therefore, we can set up a proportion:
3/5 = 12√3/x
To solve for x, we can cross-multiply:
3 * x = 5 * 12√3
Simplifying, we have:
3x = 60√3
Now, divide both sides by 3:
x = 20√3
So, the length of the corresponding side in the larger polygon (with a scale factor of 3:5) is 20√3.