Subjects algebra

Uchburchak Tomoni

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Uchburchak Tomoni


1. Muammo: 19/30 m uzunlikdagi simdan hamma tomonlari teng bo‘lgan uchburchak yasash uchun yana 8/30 m sim kerak bo‘ldi. Uchburchak tomoni uzunligini toping. 2. Uchburchakning tomonlari teng bo‘lgani uchun u teng tomonli uchburchakdir. Teng tomonli uchburchakning har bir tomoni uzunligi $x$ deb olamiz. 3. Butun sim uzunligi $19/30 + 8/30 = 27/30$ metr yoki $\frac{27}{30} = \frac{9}{10}$ metr sim mavjud bo‘lgan. 4. Teng tomonli uchburchakda 3 ta tomon bo‘ladi, shuning uchun: $$3x = \frac{9}{10}$$ 5. Har bir tomon uzunligini topamiz: $$x = \frac{9}{10} \div 3 = \frac{9}{10} \times \frac{1}{3} = \frac{9}{30} = \frac{3}{10}$$ 6. Javob: Uchburchak tomoni uzunligi $\frac{3}{10}$ metr.