Question
Download Solution PDFशीर्ष A (1, √3), B (0, 0) और C (2, 0) के साथ त्रिभुज का अन्तःकेन्द्र क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
अन्तःकेन्द्र: अन्तःकेन्द्र बिंदु वह बिंदु है जहां कोण द्विभाजक प्रतिच्छेद करते हैं।
- बिंदुओं (x1, y1), (x2, y2), (x3, y3) पर शीर्षों के साथ भुजा लम्बाई a, b, c के साथ एक त्रिभुज के लिए अन्तःकेन्द्र
पर निहित है - समबाहु त्रिभुज के लिए अन्तःकेन्द्र केन्द्रक के साथ संपाती होता है।
गणना:
OA = 2
यहाँ OA = OB = AB,
चूंकि, दिया गया त्रिभुज एक समबाहु त्रिभुज है।
इसलिए, अन्तःकेन्द्र केन्द्रक के साथ संपाती होता है।
त्रिभुज का अन्तःकेन्द्र =
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