an angle bisector of a triangle divides the opposite side of the triangle into segments 8 cm and 4 cm long a second side of the triangle is 4.4 cm long. Choose a possible length of the third Side based on the triangle angle bisector theorem

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negitive slope

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true

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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+

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