एक त्रिभुज के शीर्ष (4, 1), (1, 1), (3, 5) है, तो वह होगा:

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RRC Group D Previous Paper 3 (Held On: 19 Sep 2018 Shift 1)
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  1. समद्विबाहु और समकोण त्रिभुज
  2. विषमभुज त्रिभुज
  3. समद्विबाहु लेकिन समकोण त्रिभुज नहीं 
  4. समकोण लेकिन समद्विबाहु त्रिभुज नहीं

Answer (Detailed Solution Below)

Option 2 : विषमभुज त्रिभुज
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Detailed Solution

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A(4, 1), B(1, 1) और C(3, 5) त्रिभुज के तीन शीर्ष है। फिर,

⇒ AB2 = (1 - 1)2 + (1 - 4)2 = 9

⇒ BC2 = (5 - 1)2 + (3 - 1)2 = 20

⇒ AC2 = (5 - 1)2 + (3 - 4)2 = 17

चूंकि, सभी 3 पक्षों की लंबाई अलग-अलग है, इसलिए यह एक विषमभुज त्रिभुज है।
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