Investigations with Triangles

Inspired by:

Project Intermath

 

By: Diana Brown


Investigation # 1

 

Equal Areas

Determine why a certain rectangle has the same area as a triangle.

 

 

 

Construction

Investigation

Extensions

 


Investigation # 2

 

Biggie Size it

 

Explore changes in the perimeter and area of a triangle when you increase its size.

 

Problem

Investigation using GSP

Investigation using Excel

Heronís Formula

 


Investigation # 3

 

The Pythagorean Theorem

And

Its converse

 

Proofs

The Converse

Extensions

 


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