Question
Download Solution PDFΔABCలో, AB భుజంపై BD = 3 సెం.మీ మరియు DA = 4 సెం.మీ. ఉండే విధంగా D అనే బిందువు ఉంది. BC భుజంపై DE || AC ఉండే విధంగా E అనే బిందువు ఉంది. అప్పుడు, ΔBDE వైశాల్యం : ACED సమలంబ చతుర్భుజం (ట్రెపీజియం) యొక్క వైశాల్యం ఎంత?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన:
BD = 3 సెం.మీ
DA = 4 సెం.మీ
ఉపయోగించిన భావన:
సారూప్యత యొక్క భావన
గణన:
ఇక్కడ ΔABC ∼ ΔBDE [∵ DE || AC మరియు ∠B రెండు త్రిభుజాలకు ఉమ్మడిగా ఉంది]
కాబట్టి,
ΔABC/ΔBDE = 72/32
⇒ ΔABC/ΔBDE = 49/9
ACED = ΔABC - ΔBDE
⇒ 49 - 9 = 40
∴ నిష్పత్తి 9 : 40
∴ అప్పుడు, ΔBDE వైశాల్యం : ACED సమలంబ చతుర్భుజం (ట్రెపీజియం) యొక్క వైశాల్యం 9 : 40
Last updated on Jun 13, 2025
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