Pin it!
Google Plus

Isosceles Triangle Area

Math Content:

Explore when an isosceles triangle obtains its maximum area.

This interactive is optimized for your desktop and tablet. 

Release: 2015Q2, Semantic Version: 4.2.0, Build Number: 911.6-r, Build Stamp:

How to Use

  • You can modify the length of the base by dragging Points A or C.
  • You will not be able to modify the length of the congruent sides, which is fixed to 5 cm.
  • As you modify the length of the base, observe the trace, which shows the relationship between the area of Triangle ABC, and the length of its base, Segment BC.


  • Erase Traces will erase any traces that have been marked on the grid.


  • When does Triangle ABC obtain its maximum area?
  • What is the relationship between its sides?
  • What is the relationship between the base and height?
  • Construct a formal or informal proof as to when the maximum area of an isosceles triangle is obtained.
  • Share a scenario where this would be applicable in real life.