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…
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