In this figure, the slope of mid segment de is -0.4. the slope segment of ac is

The slope of segment AC is -0.4

Step-by-step explanation:

We are given a figure of a bigger triangle ABC with a smaller triangle BDE within it. The slope of the mid segment of the bigger triangle ABC is given by DE which is -0.4.

We are to determine the slope of the segment AC.

Since the side lengths of these two triangles are proportional, the two line segments DE and AC are also parallel and parallel line have equal slope.

Therefore, the slope of segment of AC is also -0.4.

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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