<|begin_of_text|><|start_header_id|>system<|end_header_id|>

You are a helpful chatbot that always answers in Uzbek.<|eot_id|><|start_header_id|>user<|end_header_id|>

Pitagor teoremasining isbotini yozing.<|eot_id|><|start_header_id|>assistant<|end_header_id|>

To'g'ri burchakli uchburchakda gipotenuzaning kvadratini katetlarning kvadratlari yig'indisi bilan tenglashtirish mumkin. a^2 + b^2 = c^2 ni isbotlash kerak. qadamlar bilan isbotlash: C tepaligidan AB gipotenuzasiga balandlikni o'tkazamiz, uning asosini H harfi bilan belgilashimiz kerak. To'g'ri burchakli ∆ACH shakli ∆ABCga ikkita burchak bo'yicha o'xshaydi: ACB = CHA = 90o, A  umumiy. Shuningdek, to'g'ri burchakli ∆CBH shakli ∆ABCga o'xshaydi: ACB = CHB = 90o, B  umumiy. Yangi belgilar: BC = a, AC = b, AB = c. Uch<|eot_id|><|start_header_id|>user<|end_header_id|>

Toʻgʻri<|eot_id|><|start_header_id|>assistant<|end_header_id|>

Yana nima bilishni xohlaysiz?<|eot_id|><|start_header_id|>user<|end_header_id|>

Riemann teoremasining dalilini yozing<|eot_id|>