जर त्रिकोणाचे कोन 9 ∶ 11 ∶ 16 च्या प्रमाणात असतील, तर सर्वात मोठ्या कोनातील आणि सर्वात लहान कोनातील फरक आहे:

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SSC Selection Post 2024 (Graduate Level) Official Paper (Held On: 21 Jun, 2024 Shift 3)
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  1. 30°
  2. 25°
  3. 40°
  4. 35°

Answer (Detailed Solution Below)

Option 4 : 35°
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दिलेल्याप्रमाणे:

त्रिकोणाचे कोन 9 ∶ 11 ∶ 16 च्या प्रमाणात आहेत.

वापरलेले सूत्र:

त्रिकोणातील कोनांची बेरीज = 180º

गणना:

कोन 9x, 11x आणि 16x असू द्या.

कोनांची बेरीज = 9x + 11x + 16x = 180º

⇒ 36x = 180º

⇒ x = 5º

सर्वात मोठा कोन = 16x = 16 × 5º = 80º

सर्वात लहान कोन = 9x = 9 × 5º = 45º

सर्वात मोठ्या कोनातील आणि सर्वात लहान कोनातील फरक = 80º - 45º = 35º

∴ योग्य उत्तर पर्याय 4 आहे.

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