Think you are good at geometry? Try finding x.

This geometry problem looks innocent at first, but the diagram is hiding a very clever relationship.

You’re given two semicircles, heights of 7 and 2, and a sloping line touching both semicircles. The challenge is to find the unknown distance x between the two points of contact.

It might look like you need a complicated formula, but once you identify the right geometry idea, the problem becomes much easier.

Pause the video before I start solving and give it a try yourself.

What value did you get for x?

Drop your answer in the comments before watching the full solution. I’d also love to know what method you used.

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