Question
Download Solution PDFसमबाहु त्रिभुज की परित्रिज्या 5√3 सेमी है। उसी त्रिभुज की अंतःत्रिज्या ज्ञात कीजिए?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
समबाहु त्रिभुज की परित्रिज्या 5√3 सेमी है
प्रयुक्त सूत्र:
समबाहु त्रिभुज की परित्रिज्या = a/√3
समबाहु त्रिभुज की अंतःत्रिज्या = a/2√3
जहाँ a समबाहु त्रिभुज की भुजा है
गणना:
समबाहु त्रिभुज की परित्रिज्या 5√3 सेमी है
∴ 5√3 = a/√3
⇒ a = 15 सेमी
अब, समबाहु त्रिभुज की अंतःत्रिज्या = a/2√3 = 15/2√3 = 5√3/2 सेमी
स्मार्ट ट्रिक
हम जानते है,
परित्रिज्या/अंतःत्रिज्या = 2/1
∴ अंतःत्रिज्या = परित्रिज्या/2 = 5√3/2
Last updated on Jul 17, 2025
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