Categories
Intermediate

The triangle pull

An equilateral triangle with given distances between its vertices and an exterior point. What’s its side length x?

Scroll down for a solution to this problem.

Solution

The side length x = 7.

Solution by Dmitriy Spiridonov using the converse Ptolemy’s Theorem.
close

🤞 Don’t miss these puzzles!

Subscribe to the weekly geometry puzzle e-mail.

2 replies on “The triangle pull”

Nice result whenever the sum of two of the distances is the third!
Any other nice relationships giving a nice value for x?

Leave a Reply

Your email address will not be published.

Optionally add an image (JPEG only)