Ineed ! i have to write about the swiss mathematician leonhard euler. it's an essay.

Leonhard Euler was a mathematician born in the 1700s. He discovered a formula that describes the shape of polyhedrons, which are three-dimensional solids with flat sides.   No matter what shape the polyhedron is, the formula always equals 2. Euler’s formula helps scientists Figure out how shapes are connected to each other and even with the shape of the universe might be.

geometry: triangles

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lessons

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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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