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Isosceles Triangle Area

Grade:
6-8
Standards:
Geometry
Math Content:
Geometry

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: dn.kcptech.com/20150706050244

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.

Buttons

  • 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.