Formula rau tsim pythagorean triads?

Cov txheej txheem:

Formula rau tsim pythagorean triads?
Formula rau tsim pythagorean triads?
Anonim

Lub npe yog muab los ntawm Pythagorean theorem, hais tias txhua daim duab peb sab txoj cai muaj sab ntev txaus siab rau cov qauv a2 + b2=c2; Yog li, Pythagorean triples piav qhia txog peb qhov ntev ntawm qhov sib npaug ntawm daim duab peb sab.

Koj ua li cas thiaj tsim Pythagorean triad?

Yog tias koj square txhua tus lej, rho tawm ib lub xwmfab los ntawm lub square ntau dua nws, ces square root tus lej no, koj tuaj yeem nrhiav Pythagorean Triples. Yog tias qhov tshwm sim yog tus lej tag nrho, ob tus lej thiab tus lej square rooted ua tus Pythagorean Triple. Piv txwv li, 24^2=576, thiab 25^2=625.

Dab tsi yog 5 feem ntau Pythagorean triples?

Pythagorean theorem

Integer triples uas txaus siab rau qhov kev sib npaug no yog Pythagorean triples. Cov piv txwv uas paub zoo tshaj plaws yog (3, 4, 5) thiab (5, 12, 13). Daim ntawv ceeb toom peb tuaj yeem ua ntau qhov kev nkag hauv peb zaug los ntawm ib tus lej thiab tau txais lwm triple. Piv txwv li (6, 8, 10), (9, 12, 15) thiab (15, 20, 25).

Koj pom Pythagorean triplets li cas?

Yuav ua li cas thiaj tsim Pythagorean Triplet

  1. Yog tus lej yog khib: Square tus lej N thiab muab faib los ntawm 2. Siv tus lej uas yog tam sim ua ntej thiab tom qab tus lej i.e. (N2/2 - 0.5) thiab (N2/2 +0.5). …
  2. Yog tus lej txawm tias: Siv ib nrab ntawm tus lej N thiab tom qab ntawd square nws. Pythagorean triplet=N, (N/2)2-1,(N/2)2+1.

Vim li cas peb thiaj tsim nyog 5 7 9 Pythagorean triplets?

No, vim 5 square+ 7 square=74. thiab 9 square=81. yog vim li cas qhov no tsis yog Pythagorean triplets.

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