Problem 61071. Generalizing square area to triangle area

Created by Luisa

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Cody Problem 61070 asked for the height, h, of a right triangle that had the same area, A, of a square with side length, c, and the hypothenuse length was correlated to the square side by x = 2. 
Now, find the height, h, of the right triangle that has the same area, A, of a square with side length, c, and the hypothenuse length is xc, for an arbitrary number x > 2. Here, the height stands for the smallest cathetus.

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Last Solution submitted on Dec 03, 2025

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Christian Schröder on 12 Nov 2025 at 20:10

@Luisa, thanks for follow-up problem. Your 2nd test case has a typo: you're declaring n but calling the function with x.

Luisa on 13 Nov 2025 at 10:16

Sorry. I saw that before to publish and I corrected it, but I forgot to save before to publish, and I leave the problem for the first solver. So sorry.
Thank you.

Christian Schröder on 13 Nov 2025 at 14:01

Thanks for the quick fix, Luisa.

@Cody team, although the test suite changed, some (not all!) previously submitted solutions aren't tagged as outdated and don't offer the option to rescore them. Could you look into this?

Dyuman Joshi on 22 Nov 2025 at 11:50

@Christian, I have been able to (manually) rescore all 10 submitted solutions.

I am not sure if users other than moderators and admin can see whether solutions are outdated or not.

Christian Schröder on 22 Nov 2025 at 12:00

Thanks, Dyuman! Until very recently at least, yes, when a test suite had changed there was a line below the solution saying (paraphrasing) "This solution is outdated because the test suite has changed. Click here to rescore the solution." IIRC, this was still offered here for some but not all solutions, and in fact one of the solutions where it was missing was my own.

Vanessa Wang on 24 Nov 2025 at 21:13

@Dyuman Thanks for taking care of the rescoring. All users (included the logged out view) will see a rescore message for outdated solutions.

@Christian Unfortunately I haven't been able to reproduce the issue where the rescore message does not appear for all outdated solutions. Please feel free to flag me if you encounter it again and I can investigate.

@Luisa In case you need to update the test suite again, authors can also trigger rescores for previously submitted solutions!

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Problem 61071. Generalizing square area to triangle area

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Problem 61071. Generalizing square area to triangle area

Solution Stats

Last 200 Solutions

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Problem Recent Solvers6

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