# Rationale und irrationale Zahlen/Pythagoreische Tripel im Einheitsintervall/Aufgabe/en

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a) Give an example of rational numbers ${\displaystyle {}a,b,c\in {]0,1[}}$ such that

${\displaystyle a^{2}+b^{2}=c^{2}.}$

b) Give an example of rational numbers ${\displaystyle {}a,b,c\in {]0,1[}}$ such that

${\displaystyle a^{2}+b^{2}\neq c^{2}.}$
c) Give an example of irrational numbers ${\displaystyle {}a,b\in {]0,1[}}$ and a rational number ${\displaystyle {}c\in {]0,1[}}$ such that
${\displaystyle a^{2}+b^{2}=c^{2}.}$