Find the distance between the points given. (-3, -4) and (0, 0) -5 5

use the distance formula

Step-by-step explanation:

d = sqrt [( x2 -x1) ^2 + (y2-y1)^2 ]

Let x1 = -3 and x2 = 0, and y1 = -4 and y2 = 0

therefore:

d = sqrt [ (0- (-3)]^2 + (0-(-4)]^2]

d = sqrt [ (0 +3)^2 + (0 + 4) ^2]

d = sqrt [(3)^2 + (4)^2]

d = sqrt [9 + 16]

d = sqrt [25]

d = 5

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

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