Find the greatest common factor of 36 and 54.

18

Step-by-step explanation: List the factors of 54 and 36, and find it OR use the ladder method.

18

Step-by-step explanation:

The factors of 54 are: 1 , 2 , 3 , 6 , 9 , 18 , 27 , 54 − 1 , − 2 , − 3 , − 6 , − 9 , − 18 , − 27 , − 54

The factors of 36 are: 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36 − 1 , − 2 , − 3 , − 4 , − 6 , − 9 , − 12 , − 18 , − 36

The greatest factor that both 36 and 54 share are 18.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

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geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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