Measures of Center of a Triangle
By Makenna Brown
Circumcenter
Concurrency of Perpendicular Bisectors Theorum
Real Life Application
How to Find It
2. Connect them with segments.
3. Find the Perpendicular Bisector of all three sides.
4. The point in which the Perpendicular Bisectors intersect is your Circumcenter.
Example Problem
Incenter
Concurrency of Angle Bisectors Theorem
Real Life Application
How to Find It
2. Connect them with segments.
3. Find the angle bisectors of all three angles of the triangle.
4. Make a point where the three angle bisectors intersect.
5. That is your incenter.
Example Problem
Centroid
concurrency of medians Theorem
Real Life Application
how to find it
2. Connect the points with segments.
3. Find the midpoint of the three sides of the triangle.
4. Then connect the midpoint of one line to the vertex opposite to it.
5. Do the same to the other two sides.
6. The point in which the three medians intersect is your centroid.
example problem
orthocenter
concurrency of altitudes theorem
how to find it
2. Connect them with segments to form a triangle.
3. Make a perpendicular line for one of the sides of the triangle, so it intersect the vertex opposite of it.
4. Do the same with the other two sides of the triangle.
5. The point where the altitudes intersect is you orthocenter.
example problem
midsegment theorem
triangle midsegment theorem
real life application
how to find it
2. Connect the points with segments, so it forms a triangle.
3. Find the midpoints of two sides.
4. Connect the two midpoints with a segment.
5. FInd the distance of that segment and the distance of the third side.
6. The smaller segment should be half the distance of the longer side.