Find the perimeter of triangle ABC.

21.79 units

Step-by-step explanation:

We have to use the distance formula, which says that for two points (x_1, y_1) and (x_2, y_2), the distance between them is:

First up is (2, 2) and (6, 6): ≈ 5.66

Next is (6, 6) and (7, -3):

≈ 9.06

Finally is (2, 2) and (7, -3):

≈ 7.07

Add these up:

5.66 + 9.06 + 7.07 = 21.79 units

Hope this helps!

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