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The circumscribing circle O and the inscribed circle of triangle ABC have the same center. Which of the following constructions are crucial to draw a circle inscribed on a given equilateral triangle? Select all that apply.

The circumscribing circle O and the inscribed circle of triangle ABC have the same center Which of the following constructions are crucial to draw a circle insc class=

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Answer:

Construct perpendicular lines & construct angle bisectors

Step-by-step explanation:

I saw someone ask the same question and they had that anwser^

The constructions that are crucial to draw a circle inscribed on the given equilateral triangle are:

  • Construct line segments
  • Construct angle bisectors.

How to make an inscribed circle in a triangle?

There can be many different ways, one can include arc way, one can include angle bisector and perpendicular, and we can even try to discover some. But usually, (for the angle bisector and perpendiculars), we do the following:

  • Divide one of the angles in half.
  • Divide another angle in half.
  • The incenter, or point where they cross, is the inscribed circle's centre.
  • Construct a perpendicular from the triangle's centre point to one of its sides.
  • Draw an inscribed circle by placing the compass on the centre point and adjusting the length to where the perpendicular crosses the triangle.

Drawing random arcs isn't gonna help mostly neither unspecific line segments. Drawing angle bisectors of the triangle and perpendiculars is one of the part.

Thus, the constructions that are crucial to draw a circle inscribed on the given equilateral triangle are:

  • Construct line segments
  • Construct angle bisectors.

Learn more about inscribing circle here:

https://brainly.com/question/17043518

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