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Which of the following steps is needed to inscribe a circle in a triangle?
Group of answer choices

Construct two perpendicular bisectors of the triangle

Construct two angle bisectors of the triangle

Construct one perpendicular bisector of the triangle

Construct one angle bisector of the triangle


Sagot :

Answer: Construct two angle bisectors of the triangle

Step-by-step explanation:

To construct the inscribed circle, you first need to construct the incenter, which is defined as the intersection point of the angle bisectors of a triangle.

To make inscribe a circle in a triangle construct two angle bisectors of the triangle. The correct option is B.

What is an inscribed circle?

The biggest circle a triangle can hold is called an inscribed circle. Each of the triangle's three sides will be precisely touched by the inscribed circle in one place.

The steps involved in constructing an inscribed circle are given below:-

1. Two of the triangle's angles should be drawn as an angle bisector to the triangle's other side. The incenter of the circle is where the angle bisectors intersect.

2. From the circle's center to one of the triangle's sides, draw a perpendicular. The radius of the inscribed circle is the distance from the center to the edge.

3. With the radius determined in Step 2, create a circle. All three of the triangle's sides will be touched by the inscribed circle.

Therefore, to make inscribe a circle in a triangle construct two angle bisectors of the triangle. The correct option is B.

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