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Rezolvari-Matematica | gp19 Numere pitagorice sau pitagoreice #shorts #pitagora #matematica #short #shortvideo @RezolvariMatematica | Uploaded 2 months ago | Updated 4 days ago
Numerele pitagorice sau pitagoreice reprezinte o triplet de numere naturale nenule de forma 3k, 4k i 5k care verific relaia Teoremei lui Pitagora, adic (3k)^2 + (4k)^2 = (5k)^2.
3k i 4k sunt lungimile catetelor iar 5k reprezint lungimea ipotenuzei unui triunghi dreptunghic.

AB = 3k AB^2=(3k)^2=9 K^2
AC = 4k AC^2=(4k)^2=16 K^2
BC = 5k BC^2=(5k)^2=25 K^2
9 K^2 + 16 K^2=25 K^2

Constatm c AB^2+AC^2=BC^2 .
Rezult conform reciprocei Teoremei lui Pitagora c ABC dreptunghic n A.



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gp19 Numere pitagorice sau pitagoreice #shorts #pitagora #matematica #short #shortvideo

gp19 Numere pitagorice sau pitagoreice #shorts #pitagora #matematica #short #shortvideo @RezolvariMatematica