The Return Of The Cav | Colin

It’s good to see @srcav back in the twitter and blogging fold – he’s been missed!

As part of his comeback, he shared this lovely geometry puzzle:

Assuming the situation is symmetrical (which it needs to be to get a sensible solution), there are – as usual – several ways to solve it. Like Cav, I went the messy way first; however, I wanted to share a related solution using the power of complex numbers – and (much later) one that comes directly from a little-used circle theorem.
Suppose the set-up is an Argand diagram

The ‘vector’ representing the left leg of the triangle corresponds…

Continue reading here:

http://ift.tt/2gWJa6Z

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s