Mathomat WB3

# Construct an Equilateral Triangle with any Base

video tutorial part
1
of

## Learning Geometry with a Circle Arc Template

with

### Chris Tisdell

Mathematician & Educator

### Materials you will need:

Mathomat WB3 Template
Whiteboard or Blackboard
Whiteboard Markers or Chalk
Whiteboard / Blackboard Eraser

### What you will learn in this tutorial:

In this video presentation, Chris Tisdell demonstrates a basic construction, showing how to construct an equilateral triangle on a given line segment using this new tool on a whiteboard.

Chris then demonstrates the construction:

1. He positions the circle arc template atone endpoint of the given line segment (AB) and draws an arc to create a new point (C) where the arc intersects the line segment.
2. The circle arc template is repositioned at point C, and another arc is drawn, this time showing only the intersection point (D).
3. By drawing a straight line through points A and D, Chris forms a smaller equilateral triangle (ABD).
4. This process is repeated on the other endpoint, creating a similar smaller equilateral triangle (CBF).
5. The triangle ABG is equilateral based on the congruence and similarity of the smaller triangles.

In summary, Chris Tisdell's presentation shows how equilateral triangles can be constructed on a whiteboard using a new geometric construction tool designed to replace compasses.

### Chris Tisdell

Mathematician & Educator
Chris, a mathematician and educator, is an academic advisor to Mathomat. Chris approached us in 2021 with an interest in the circle templates in Mathomat...
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