Model Town You are planning the scale model of a town that you will build. For now, you are laying everything out
on a coordinate plane as shown. You want to draw Wooster
Street so that it is perpendicular to Main Street. You know
that Wooster Street will pass through the point (-3, 8.75).
Find the equation of the line for Wooster Street so that it is
perpendicular to Main Street. Explain your reasoning.

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step-by-step explanation:

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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