pedal triangle meaning in Hindi

Examples

1. The medial triangle is the pedal triangle of the circumcenter.
2. The pedal triangles of the first and second Brocard points are similar to the original triangle.
3. The sides of the pedal triangle of the orthocenter are parallel to the tangents to the circumcircle at the original triangle's vertices.
4. Among all the equilateral triangles inscribed in triangle ABC, the pedal triangle of the first isodynamic point is the one with minimum area.
5. From an interior point in a reference triangle, the nearest points on the three sides serve as the vertices of the pedal triangle of that point.
6. The vertices of the pedal triangle of an interior point " P ", as shown in the top diagram, divide the sides of the original triangle in such a way as to satisfy
7. In any acute triangle, the inscribed triangle with the smallest perimeter is the pedal triangle of the orthocenter ( the triangle whose vertices are the feet of the perpendiculars from the orthocenter to the sides ).
8. Also, this cubic is the locus of " X " such that the pedal triangle of " X " is the cevian of some point ( which lies on the Lucas cubic ).
9. If the interior point is the circumcenter of the reference triangle, the vertices of the pedal triangle are the midpoints of the reference triangle's sides, and so the pedal triangle is called the midpoint triangle or medial triangle.
10. If the interior point is the circumcenter of the reference triangle, the vertices of the pedal triangle are the midpoints of the reference triangle's sides, and so the pedal triangle is called the midpoint triangle or medial triangle.