शिरोबिंदू (4, 1), (1, 1), (3, 5) असलेला त्रिकोण ______ असतो.

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RRC Group D Previous Paper 3 (Held On: 19 Sep 2018 Shift 1)
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  1. समद्विभुज आणि काटकोन त्रिकोण
  2. विषमभुज त्रिकोण
  3. समद्विभुज परंतु काटकोन त्रिकोण नाही
  4. काटकोन त्रिकोण परंतु समद्विभुज त्रिकोण नाही

Answer (Detailed Solution Below)

Option 2 : विषमभुज त्रिकोण
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A(4, 1), B(1, 1) आणि C(3, 5) हे त्रिकोणाचे शिरोबिंदू आहेत. तर,

⇒ AB2 = (1 - 1)2 + (1 - 4)2 = 9

⇒ BC2 = (5 - 1)2 + (3 - 1)2 = 20

⇒ AC2 = (5 - 1)2 + (3 - 4)2 = 17

कारण, सर्व 3 बाजूंची लांबी भिन्न आहे, म्हणून हा एक विषमभुज त्रिकोण आहे.
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