Investigating Geometry with GeoGebra

Henrico County Public Schools

What is relationship of a median in a right triangle?

READ the instructions on the right and INTERACT with the GeoGebra applet below.

Sorry, the GeoGebra Applet could not be started. Please install Java 1.4 (or later) to use this page.

ΔABC is a right triangle. CD is a median.

Investigation Steps

Click on the reset icon icon to reset the diagram.

 Step 1 Close 
  1. Move the blue point C. What changes in the triangle?

  2. What kind of triangles are ΔACD and ΔCBD?

  3. Does this ever change?

  4. Explain.
 Step 2 Close 
  1. What is the relationship between sides d, e, and f?

  2. Does this relationship ever change?

  3. Explain.
 Step 3 Close 
  1. When is it possible that b, d, and f are congruent?

  2. What is the relationship between sides a, b, and c?