# medial triangle

The medial triangle of a triangle $\triangle ABC$ is the triangle formed by joining the midpoints of the sides of the triangle $\triangle ABC.$

Here, $\triangle A^{\prime}B^{\prime}C^{\prime}$ is the medial triangle. The incircle of the medial triangle is called the Spieker circle and the incenter is called the Spieker center. The circumcircle of the medial triangle is called the medial circle.

An important property of the medial triangle is that the medial triangle $\triangle A^{\prime}B^{\prime}C^{\prime}$ of the medial triangle $\triangle DEF$ of $\triangle ABC$ is similar to $\triangle ABC.$

Title medial triangle MedialTriangle 2013-03-22 13:11:17 2013-03-22 13:11:17 yark (2760) yark (2760) 8 yark (2760) Definition msc 51-00 auxiliary triangle Spieker center Spieker circle medial circle