Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction?


Connect vertex B to the arc marking to complete the angle bisector
Find the angle bisectors for angles A and B
Connect three arc markings together to form the triangle
Use the incenter to determine the center to construct the circle

Brenna is constructing a circle inscribed in a triangle She has partially completed the construction as shown below What should be her next step in the construc class=

Respuesta :

Answer:

Use the incenter to determine the centre to construct the circle

Step-by-step explanation:

Given that for a triangle ABC a circle inscribed in the triangle to be drawn

We know that incentre of any triangle is the line of intersection of angle bisectors of the triangle.

Here we find that two angle bisectors were drawn to meet at one point let the point be called I.

Now I is equidistant from all the three sides

From I drop a perpendicular to any one side say BC as ID cutting BC at D

With ID as radius and I as centre draw the circle which would be the incircle of the triangle ABC

To draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as a center to draw the circle to touch each of the 3 perpendicular points.

What is the incentre?

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

Given that for a triangle ABC a circle inscribed in the triangle is to be drawn.

Use the incenter to determine the center to construct the circle;

From the attached image, we can see that the 3 bisectors of the three interior angles in the triangle intersect at a point.

This point is known as the incentre of the triangle.

Angle bisectors were drawn to meet at one point let the point be called I.

Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as a center to draw the circle to touch each of the 3 perpendicular points.

To know more about incentre click the link given below.

https://brainly.com/question/23474219

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