What slope is perpendicular to m=3/4

The slope of the perpendicular line is -4/3

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

m * 3/4 = -1

Multiply by 4/3

m * 3/4 * 4/3 = -1 * 4/3

m = -4/3

The slope of the perpendicular line is -4/3

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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