Investigating Geometry with GeoGebra

Henrico County Public Schools

Right Triangle - Median 1

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

  1. ΔABC is a right triangle. CD is a median.

  2. Move point C. What changes in the triangle?

  3. What kind of triangles are ΔACD and ΔCBD? Does this ever change? Explain.

  4. What is the relationship between sides d, e, and f? Does this relationship ever change? Explain.

  5. When is it possible that b, d, and f are congruent?

  6. What is the relationship between sides a, b, and c?
Sorry, the GeoGebra Applet could not be started. Please install Java 1.4 (or later) to use this page.