1. Lesson 9

1.9. Connect

Module 2: Lesson 9

Module 2: Logic and Geometry

 

Connect
 
Lesson Assignment
 

assignment

Complete the Lesson 9 Assignment that you saved to your course folder.

 

Going Beyond
 

In the Focus section of this lesson you were presented with a brain teaser called Acute Dissection. Recall that the problem asks whether it is possible to cut any triangle with one obtuse angle into smaller, acute triangles. If it cannot be done, a proof of impossibility is required. If it can be done, the solution must show the smallest number of acute triangles that an obtuse triangle can be dissected into.

 

—Adapted from Gardner’s “My Best Mathematical and Logic Puzzles” ISBN 0-486-28152-3.


 

The triangle that Joe presented at the start of this lesson is not a correct solution. One of his triangles is obtuse.

 

 

This illustration is of a triangle dissected into smaller triangles.

 

Can you solve this problem? Answer