Four Collinear Points Related to the Altitudes

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

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

Let ABC be a triangle. Let A', B', and C' be the feet of the altitudes from A, B, and C. Let P and Q be the projections of A' to AB and AC. Let R and S be the projections of A' to BB' and CC'. Then P, Q, R, and S are collinear.

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


Snapshots


Details

See problem 5 in N. Altshiller-Court, College Geometry, Mineola, NY: Dover, 2007 p. 99.



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