Question

Pretend you are explaining how to inscribe a circle inside a triangle to your younger brother/sister, parent or friend. Explain each step you took to construct the inscribed circle. Be sure to define what it means to inscribe as well as a step by step detailed instruction of your construction.

Answer 1

The steps on how to Inscribe a circle in a triangle are:

Step 1: You need to draw angle bisectors and this will be for 2 angles and then the person need to mark their intersection.

Step 2: Then, one need to  drop or place a perpendicular line from the incenter of the circle to the point where there is one edge of the triangle. Step 3: Lastly, One need to construct a circle at the point where the perpendicular line is as the radius.

What are the Definitions of terms on how Inscribe a Circle in a Triangle?

Angle Bisector: An angle bisector is known to be a kind of a line segment that is said to often breaks or divides an angle into what is known to be two equal smaller angles.

The Incenter: The incenter of a circle is known or described as the center dot of a circle that is said to be inscribed inside a triangle.

Perpendicular : A perpendicular is known to be a kind of a line that arises from a point to other line and it is one that forms a right angle

Hence, The steps on how to Inscribe a circle in a triangle are:

Step 1: You need to draw angle bisectors and this will be for 2 angles and then the person need to mark their intersection.

Step 2: Then, one need to  drop or place a perpendicular line from the incenter of the circle to the point where there is one edge of the triangle. Step 3: Lastly, One need to construct a circle at the point where the perpendicular line is as the radius.

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