WSP Eulers Line

• ## Euler's Line

Discover and explore Euler's Line.

### How to Use

Use the red points to adjust Triangle ABC.

### Buttons

• The buttons are meant to be shown sequentially.
• The Show/Hide Distances and Show/Hide Lengths will provide measurements that can be toggled on and off.
• At any time, you can press the Reset button to start over.

### Exploration

Before using any of the buttons, explore the following:

• How many points of concurrency does a triangle have? What are they, and how do you construct them?
• Is it possible for any of these points to live outside of the triangle?
• If possible, when are two or more of these points in the same location?
• What is/are the relationship(s) between the measurements of these points, if any?

### Objectives and Standards

NCTM Standards and Expectations
• Geometry / Measurement
• Functions and Trigonometry
• Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
• High School (9-12)
• Geometry
• Measurement