A Circumcircle through the Midpoint of a Triangle's Side

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.

Let ABC be a triangle. Let the feet of the altitudes from A, B, and C be A', B' and C', respectively. Let the line through A' parallel to B'C' meet AC and AB at Q and R, respectively. Let the line B'C' meet BC at P. Then the circumcircle of PQR passes through the midpoint M of BC.

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots




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