Question
Download Solution PDFఒక రాంబస్ యొక్క ప్రతి భుజం పొడవు 5 మీ. మరియు దాని కర్ణాలలో ఒకటి 2.8 మీ. రాంబస్ యొక్క వైశాల్యాన్ని కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఒక రాంబస్ యొక్క ఇతర కర్ణం పొడవు 2x మీ. అనుకొనుము
మనకు తెలిసినట్లు,
a2 = (d1/2)2 + (d2/2)2 [a = రాంబస్ యొక్క భుజం, d1 మరియు d2 లు కర్ణాలు]
⇒ (2.8/2)2 + (2x/2)2 = (5)2
⇒ 1.96 + x2 = 25
⇒ x2 = 23.04
⇒ x = 4.8 మీ
ఇతర కర్ణం యొక్క పొడవు = 4.8 × 2 = 9.6 మీ
అలాగే, రాంబస్ యొక్క వైశాల్యం = ½ × కర్ణాల లబ్దం
రాంబస్ యొక్క వైశాల్యం = 1/2 × 2.8 × 9.6 = 13.44 మీ2
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