Skala podobienstwa = k
[tex]k = \frac{a'}a=\frac{b'}b=\frac{c'}c[/tex]
I.
[tex]a = 3cm\\b = 5cm\\c = 6cm\\a' = 30cm\\b' = ?\\c' = ?\\\\\frac{30cm}{3cm}=\frac{b'}{5cm}=\frac{c'}{6cm}\\10=\frac{b'}{5cm} /*5cm\\50cm=b'\\10=\frac{c'}{6cm} /*6cm\\60cm=c'\\\\\text{Skala podobienstwa = 10, trojkat t2 ma boki 30cm, 50cm, 60cm}[/tex]
[tex]II. \\a' = ?\\b' = 30cm\\c' = ?\\\frac{a'}{3cm}=\frac{30cm}{5cm}=\frac{c'}{6cm}\\\frac{a'}{3cm}=6 /*3cm\\a'=18cm\\6=\frac{c'}{6cm} /*6cm\\36cm=c'\\\text{Skala podobienstwa = 6. Trojkat t2 ma boki 18cm, 30cm, 36cm}[/tex]
[tex]III. \\a' = ?\\b' = ?\\c' = 30cm\\\frac{a'}{3cm} = \frac{b'}{5cm} = \frac{30cm}{6cm}\\\frac{a'}{3cm}=5 /*3cm\\a' = 15cm\\\frac{b'}{5cm}=5 /*5cm\\b'=25cm\\\text{Skala podobienstwa = 5. Trojkat t2 ma boki 15cm, 25cm, 30cm}[/tex]
