Geometric Counting - 3 Row Triangle of Triangles

How many triangles can you find in this picture?

9 13 18 12

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1 solution

Zandra Vinegar Staff
Aug 15, 2015

Loving your problems Zandra. I see you're "STAFF". Do you mind sharing how that came to be? I'm curious about you.

Isaac Buckley - 5 years, 10 months ago

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Thanks! :D

I actually just started on, a little over 1 week ago. I got involved with Brilliant when I met Brilliant's content team lead, Calvin, at a weekend workshop the AIM was hosting for a different web-resource project. I was already living and teaching extracurricular math in the Bay area, and when a math curriculum position opened up, the job listing went out through some SF Math Circle contacts, I applied. It was a great fit, so I signed on to start after the summer/a residential math institutor position wrapped up. I started on the 5th and I'm loving it so far!

Thank you for trying out my puzzles! I'm working on the combinatorics section right now, and just getting started really. :)

Zandra Vinegar Staff - 5 years, 10 months ago

Sorry, not exactly sure, but it seems (to me) that this question would go best under the category of logic instead of combinatorics. Fun problem though!

Raghav Arora - 5 years, 10 months ago

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I think it feels like logic because it's an intro-problem that you can definitely figure out without any prior experience with combinatorics. You just need to employ a bit of intuition/logic/strategy. :)

But as Isaac says, the relevant strategies are definitely combinatorics-centric ones: casework, organized counting, etc. If you like this problem and found that kind of logic fun and intuitive, you might really get into combinatorics!

Zandra Vinegar Staff - 5 years, 10 months ago

I disagree.

This seems like a typical begginers combinatorics question to me.

Finding clever ways to count.

Isaac Buckley - 5 years, 10 months ago

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