There were fifteen bales of hay in the barn and twenty - eight bales in the shed. Sam stacked more bales in the barn today. There are now seventy-seven bales of hay in the
barn. How many bales did he store in the barn?

62

Step-by-step explanation:

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geometry: triangles

solvers

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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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