Respuesta :

sharmadp3376

Answer:

Steps:

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.

Constructed incenter '[tex]I_{c}[/tex] 'of the the inscribed circle after bisecting ∠P, ∠Q , ∠R and draw the tangents from incentre to one of the side of the triangle.

What is incenter?

"Incenter is defined as the the intersecting point of bisector of all the angles of a triangle."

According to the question

To construct a inscribed circle

Write steps of construction:

  1. Bisect all the angles of ΔPQR.
  2. Intersecting point of bisectors of all the angles of a triangle named it '[tex]I_{c}[/tex]' as incenter.
  3. Draw perpendicular from point '[tex]I_{c}[/tex]' to the side PQ.
  4. Name the tangent point 'A'.
  5. Take [tex]I_{c}[/tex]A as radius and draw inscribed circle.

Hence, inscribed circle with incenter '[tex]I_{c}[/tex]' is drawn.

To learn more about inscribed circle from here

https://brainly.com/question/24280138

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