Question
Download Solution PDFరెండు సారూప్య త్రిభుజాల యొక్క రెండు అనూరుప భుజాలు, 9 ∶ 4 నిష్పత్తిలో ఉంటే, వాటి వైశాల్యాల నిష్పత్తి ఎంత?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఉపయోగించిన భావన:
రెండు త్రిభుజాలు ఒకేలా ఉంటే,
వాటి వైశాల్యాల నిష్పత్తి = వాటి భుజాల నిష్పత్తి యొక్క వర్గం
గణన:
ఇచ్చిన,
సారూప్య త్రిభుజం యొక్క భుజాల నిష్పత్తి 9 : 4
పై భావనను ఉపయోగించి,
\(\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2}\ =\ \frac{(Side\ of\ triangle\ 1)^{2}}{(Side\ of\ triangle\ 2)^{2}}\)
⇒ \(\frac{9^{2}}{4^{2}}\ =\ \frac{81}{16}\)
∴ వైశాల్యాల నిష్పత్తి 81 : 16.
Last updated on Jun 13, 2025
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