Teng yonli uchburchak

Geometriyada teng yonli uchburchak — tomonlaridan ikkitasi teng boʻlgan uchburchak. Teng tomonlari qarshisidagi burchaklari ham oʻzaro teng. Teng yonli uchburchaklarga teng yonli toʻgʻri burchakli uchburchak, oltin uchburchak va dipiramidalarni misol oʻlaroq koʻrsatish mumkin.

Teng yonli uchburchaklarni matematik oʻrganish qadimgi Misr matematikasi va Bobil matematikasiga borib taqaladi. Teng yonli uchburchaklar qadim zamonlardan buyon dekoratsiya oʻlaroq foydalanilgan hamda koʻpincha arxitektura va dizaynda, masalan, binolar frontonlarida paydo boʻlgandir.

Formulalar tahrir

Balandligini topish formulasi: $h={\frac {1}{2}}{\sqrt {4a^{2}-b^{2}}}$ .
Perimetrini topish formulasi: $p=2a+b$ .

Ichki chizilgan aylana radiusini topish formulalari:

$r={\frac {b}{2}}{\sqrt {\frac {2a-b}{2a+b}}}$
$r={\frac {bh}{b+{\sqrt {4h^{2}+b^{2}}}}}$
$r={\frac {h}{1+{\frac {a}{\sqrt {a^{2}-h^{2}}}}}}$
$r={\frac {b}{2}}\operatorname {tg} \left({\frac {\alpha }{2}}\right)$
$r=a\cdot \cos(\alpha )\cdot \operatorname {tg} \left({\frac {\alpha }{2}}\right)$

Yana qarang tahrir

Teng tomonli uchburchak

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Havolalar tahrir

Weisstein, Eric W., „Teng yonli uchburchak“, MathWorld ^(ingl.)