Rico travelled from the united states to the united kingdom. once rico arrived, he converted his american dollars into british pounds (the currency in the u. he gave the bank teller $500 and was given back 295 pounds. at the end of his vacation rico had 75 pounds left over which he converted back into us dollars. how much money (in us dollars ) did rico have when he got home? round the answer to the hundredth.

geometry: triangles

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lessons

answers archive

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