Iknow that the answer is 75 but i got 35. what did i do wrong and how do you actually solve it.
c is the midpoint of ab, d is the midpoint of ac, e is the midpoint of ac, e is the midpoint of ad, f is the midpoint of ed, g is the midpoint of ef, and h is the midpoint of db. if dc = 40, what is gh?

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

7

step-by-step explanation: