Kayla states correct statement that Andy is constructing the inscribed circle of the triangle.
Constructing the circumscribed circle of triangle ABC,
So that would be a circle that touches vertices the three vertices of the triangle .
We can construct using it using a compass and a straight edge, or a virtual compass and a virtual straight edge .
So what we want to do is center the circle at the perpendicular bisectors of the sides or sometimes that's called the circumcenter of the triangle.
To construct where the perpendicular bisectors of the sides are ,So let me put a circle over here whose radius is longer than this side right over here .
Now let get one that has the same size so let make it the same size as the one i just did.
And allow to construct a perpendicular bisector. If go through that point and this point right over here, this bisect the side over here, and its at a right angle.
Now lets do that for the other sides, if i move this over here and I really just have to do it for one, of the other sides.
Because the intersection of two lines is going to give a point . so can do it for this side right over here.
So let me add a other straight edge right over here. so going to go through the point , so that's the perpendicular bisector. of the side right over here. and i could do the third side and it should intersect at that point .
I am not ultra , ultra precise but closing enough. and now i just have to center one of these circle .
And move the circle to the circumcenter and adjust its radius so that its get close to touching .
The three sides the three vertices of the triangle ABC .
Kayla state that Andy is constructing the inscribed circle of the triangle . This is the correct.
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