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

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

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step-by-step explanation: