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Mathematics 12 Online
OpenStudy (anonymous):

Alexa is constructing a circle inscribed in a triangle. She has partially completed the construction as shown below. What should be her next step in the construction?

OpenStudy (anonymous):

a. Connect vertex B to the arc marking to complete the angle bisector b. Use the compass to find the angle bisector for angle A c. Connect three arc markings together to form the triangle d. Use the arc markings to determine the radius to construct the circle

Directrix (directrix):

@chantz417 The center of a circle that can be inscribed in a triangle is the point of intersection of the angle bisectors. You have on the drawing the construction of one angle bisector. What do you think you should do next - look at the options. Post what you think is the correct option, okay?

OpenStudy (anonymous):

i think it is c

OpenStudy (anonymous):

@Directrix

Directrix (directrix):

I don't think so because "c" mentions joining arcs to form a triangle. We are drawing a circle. We need the center of that circle. To get that center, we need the point of intersection of two angle bisectors of the triangle. Try again.

OpenStudy (anonymous):

a? @Directrix

Directrix (directrix):

No. Try again. Which option says to construct an angle bisector?

Directrix (directrix):

@chantz417 Think "Use the compass ......"

OpenStudy (anonymous):

b does that was the one i was thinking about saying but i wasnt sure

Directrix (directrix):

B is what I got. You need that second angle bisector to get its intersection with the first angle bisector to find the center of the inscribed triangle.

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