Hypotenuses live on the verge of extinction . . .

Pythagoras, that ancient Greek, once taught his band of brothers:
“The square on the hypotenuse is the sum of both the others”.
So I am something special, and the reason is, you see,
Triangularly speaking, I’m the longest side of three.

My status is precarious, though, and here’s the vital clue:
The angle opposite must be exactly π by 2;
If not – I dare not think of it, I’d only get the blues –
I’d simply not exist . . . I’d be a non-hypotenuse . . .

[Image: mathworld.wolfram.com]
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