Halving the Perimeter of a Zigzag Polygon

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

A a closed zigzag polygon is made from two isosceles triangles with base 1 and altitude , and a similar triangle with base 2. A straight line through the origin and inclined at an angle cuts the polygon into two parts. What is the length of the blue part?

Contributed by: Izidor Hafner (October 2013)
Open content licensed under CC BY-NC-SA


Snapshots


Details

Let be the intersection of the lines and . The triangle is congruent to the triangle , and the line cuts the rhombus in half.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send