Maris has a birthday party on saturday. the girls at the party ate 7/12 of a large pizza and the boys at the party ate 2/3 of a large pizza. without actually adding these fractions, can you tell if more or less than a whole pizza was eaten? explain. ( hint: estimate using 0, 1/2, or 1)

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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