Which of the following is required to construct the inscribed circle of a triangle?
O A. the perpendicular bisectors of the sides of the triangle
OB. the orthocephyer of the triangle
oc the circumcenter of the triangle
O D. the incenter
Need asapppp

Respuesta :

D incenter of a triangle

Inscribed circle of a triangle is the largest circle, contained in the triangle.

To construct the inscribed circle of a triangle the in-center is required. the option 3 is the correct option.

How to construct the inscribed circle of a triangle?

Inscribed circle of a triangle is the largest circle, contained in the triangle.

Steps to construct the inscribed circle of a triangle-

  • Step 1-Bisect one of the angle of the triangle.

  • Step 2-Now bisect the another angle of the triangle.

  • Step 3-The crossing point of both the angle bisects is the in center of the triangle and center of the required circle.

  • Step 4- Draw a perpendicular from this center to one of the side of the triangle.

  • Step 5-Now draw a circle using the compass with the in center as a center of the and radius equal to the perpendicular from the in center to one of the side.  

Thus to construct the inscribed circle of a triangle the in-center is required. the option 3 is the correct option.

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