Incenter of a triangle ( Period 6)
Please construct the incenter of the triangle, confirm that it is equidistant to all the sides, and construct the inscribed circle. Download and submit in Schoology.
Follow the instructions below to construct the incenter.
1. Construct an angle bisector at each interior angle of the triangle
2. Mark the intersection (point of concurrency) - this point is called in the Incenter
3. Construct a perpendicular line from the incenter to the side of the triangle and mark the intersection point.
4. Measure the distance from the incenter to each side. What do you notice?
5. Draw a circle with center at the Incenter that touches each side points.
What is an incenter of a triangle?
What do you notice about the distance of the incenter to the sides of the triangle?
How will you compare circumcenter from incenter? Give 3 comparisons.
Where is the location of the incenter if the triangle is acute? if the triangle is obtuse ? if the triangle is right?
Download and submit in Schoology.