P224
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Almost Right-angled Triangles II

ℹ️Published on Friday, 26th December 2008, 05:00 pm; Solved by 1405;
Difficulty rating: 75%

Let us call an integer sided triangle with sides $a \le b \le c$ barely obtuse if the sides satisfy
$a^2 + b^2 = c^2 - 1$.

How many barely obtuse triangles are there with perimeter $\le 75\,000\,000$?



Soluzione

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