Directions for constructing the in-center of a triangle?

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Step-by-step explanation:

1. locate the incenter by constructing the angle bisectors of at least two angles of the triangle.

2. construct a perpendicular from the incenter to one side of the triangle to locate the exact radius.

3. place compass point at the incenter and measure from the center to the point where the perpendicular crosses the side of the triangle (the radius of the circle).

4. draw the circle.

b. x + 1

step-by-step explanation:

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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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