Sonam factored every multiple of 4 from 4 to 28 into prime factors. He used a squared matrix to show how many times each prime factor 2 3 5 and 7 appeared in each number. Create Sonam's matrix.​

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

8

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6950 is the

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