Question
Download Solution PDFआयताचे कर्ण 25° वर आयताच्या एका बाजूला झुकलेले असतात. कर्णांच्या दरम्यान बनलेला लघुकोन पुढीलप्रमाणे आहे:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFआकृती:
गणना:
जसे आयताचे कर्ण एकमेकांना छेदतात,
⇒ AO = OB
⇒ ∠OBA = ∠OAB = 25° [∵ समान बाजूच्या विरुद्ध कोन समान आहेत]
ΔAOB मधील कोनाच्या बेरीज गुणधर्मानुसार,
⇒ ∠AOB + ∠OAB + ∠OBA = 180°
⇒ ∠AOB + 25° + 25° = 180°
⇒ ∠AOB = 130°
रेखीय जोडी गुणधर्मानुसार,
⇒ ∠DOA + ∠AOB = 180°
⇒ ∠DOA + 130° = 180°
⇒ ∠DOA = 50°
∴ दोन्ही कर्ण एकमेकांना 50° कोन करतात.Last updated on Jun 2, 2025
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