Consider the following circle with center at point O.
Identify one radii, one diameter, and one chord of the circle. Justify your answers.

Chord: RT (and RS and TU, but those are also diameters)

Diameter: RS or TU

Radii: OU, OS, OT, or OR

Step-by-step explanation:

Chord: A line segment joining two points on a curve. Doesn't have to cross the center. (AKA, they have to touch the outer edge of the circle.)

Diameter: Chord that crosses the center of the circle(All examples given above cross center O)

Radius: Line segment that goes from the center of a circle to an endpoint that lies on the circle.

geometry: triangles

solvers

lessons

answers archive

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

b, i believe, but not sure.