Question

Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.

Answer 1

It would look something like this. I don't know if this helps or not.

Answer 2

9514 1404 393

Step-by-step explanation:

You need to know these construction techniques:

• bisect an angle
• create a perpendicular through a point not on a line

1. Bisect vertex angle P (as the problem statement tells you)

2. Bisect vertex angle R. This angle is chosen because it is the largest angle in the triangle. Any angle can be used, but the construction is likely to be more accurately done for larger angles.

3. The point where the angle bisectors cross is the incenter. Label that point A. It will be used as the "off-line point" for the next step.

4. Create a perpendicular to line PQ through the point A. PQ is chosen because it is the segment opposite the largest angle. This gives you the most room for the construction, so it can be done with best accuracy. Mark the the point of intersection of the perpendicular with PQ as point B.

5. Using AB as the radius, draw the incircle centered at A.