5 3 medians and altitudes of a triangle
Download
1 / 7

5-3 Medians and Altitudes of a Triangle - PowerPoint PPT Presentation


  • 192 Views
  • Uploaded on

5-3 Medians and Altitudes of a Triangle. Use the properties of Medians of a triangle Use the properties of Altitude of a triangle. Definitions. A median of a triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' 5-3 Medians and Altitudes of a Triangle' - gunda


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
5 3 medians and altitudes of a triangle
5-3 Medians and Altitudes of a Triangle

  • Use the properties of Medians of a triangle

  • Use the properties of Altitude of a triangle


Definitions
Definitions

  • A median of a triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side.

  • The point of concurrency point is called the Centroid.

  • The centroidis always inside the triangle.


Special property of centroid
Special Property of Centroid:

  • The medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side


Interesting property of a centroid
Interesting Property of a Centroid

  • The centroid is the balancing point of a triangular model of uniform thickness and density.


Definitions1
Definitions

  • An Altitude of a triangle is the perpendicular segment from a vertex to the opposite side or the line than contains the opposite side (height of the triangle).

  • The orthocenter is the point of concurrency of the altitudes.


An Altitude and its orthocentercan lie inside, on, or outside the triangle.


Remember the Distance and Midpoint formulas:

Write them below:

Distance Formula:

Midpoint Formula:


ad