how do you find the incenter of a triangle?

Question

there's a way to find the incenter using a ruler and drawing a line through the midpoint of a side of the triangle, but i don't know exactly how to do it. any help?

Answer 1

If the lines are 6 inches the mid point is 3 inches-so a dot at the 3inch mark and a dot at the corner connected-do this at all three sides and you will find the center.

Answer 2

incenter of a triangle is similar to the centroid of a triangle it is also the center of an inscribed circle . . where the circle is tangent to all the sides of the triangle to find the incenter: bisect all the 3 angles of the triangle the 3 lines will intersect in just one point . . this is the incenter

Answer 3

Repeat the process for all three sides. The lines will intersect at only one point, which is the centroid of the triangle.

The center of a circle touching the vertices of the triangle can be found by constructing a perpendicular from the midpoint of any two sides.

To find the center of an inscribed circle (incircle) you must bisect any two angles.

Answer 4

Construct line segments that bisect each of the three angles, the point where the lines meet is the center of the triangle.

Hope that helps,
Matt

Answer 5

Bisect any two of the triangles angles. The angle bisectors will intersect at a point called the incenter.Using a compass you can draw a circle that is inscribed in the triangle.