Question
Download Solution PDFचतुर्भुजाचे कोन 2 ∶ 5 ∶ 7 ∶ 10 या प्रमाणात असतात. चौकोनाच्या सर्वात मोठ्या आणि लहान कोनांमधील फरक शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिले:
चौकोनाच्या कोनांचे गुणोत्तर = 2 ∶ 5 ∶ 7 ∶ 10
संकल्पना:
चतुर्भुजाच्या कोनांची बेरीज 360° आहे हे आपल्याला माहीत असल्याने, या गुणधर्माचा वापर करून चौकोनाच्या सर्व कोनांच्या मूल्यांची गणना करा.
गणना:
चला, कोन 2x, 5x, 7x, 10x असू द्या.
2x + 5x + 7x + 10x = 360°
⇒ 24x = 360°
⇒ x = \(360^\circ\over 24\)
⇒ x = 15°
सर्वात मोठा कोन = 10x = 10 × 15° = 150°
सर्वात लहान कोन = 2x =2 × 15° = 30°
सर्वात लहान आणि सर्वात मोठ्या कोनामधील फरक = 150° - 30° = 120°
∴ '120°' हा सर्वात मोठा आणि सर्वात लहान कोनामधील फरक आहे.
Last updated on Jul 18, 2025
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