In ALMO, Point C is the intersection of the blue and green segments. If CM = 19.9, QM = 14.5, PL = 17.5, RM = 18.6, and CQ = 9.5, what is the measure of OM?

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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+

25.45584

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"

all you have to do is multiply them both to see how many out comes you can put:

3 x 2 = 6

you can make 6 diferent combinations of crusts and toppings.

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