Question
Download Solution PDFఒక సమచతుర్భుజం యొక్క ప్రతి భుజం పొడవు 13 సెం.మీ మరియు ఒక కర్ణం పొడవు 24 సెం.మీ. సమచతుర్భుజం యొక్క వైశాల్యం (చ.సెం.మీ లలో) ఎంత?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడింది:
సమచతుర్భుజం యొక్క భుజం (a) = 13 సెం.మీ
ఒక వికర్ణం పొడవు (p) = 24 సెం.మీ
ఉపయోగించిన సూత్రాలు:
a = (p2 + q2 )1/2÷ 2
సమచతుర్భుజం వైశాల్యం = 1/2 x p x q
గణన:
సమచతుర్భుజం యొక్క మరొక కర్ణం = q అనుకుందాం
⇒ (242 + q2)1/2 ÷ 2 = 13
⇒ (576 + q2)1/2 = 26
⇒ 576 + q2 = (26)2
⇒ 676 - 576 = q2
⇒ q = √100 = 10
వైశాల్యం = 1/2 x 24 x 10 = 120 చ.సెం.మీ
∴ సరైన సమాధానం 120 చ.సెం.మీ.
Last updated on Jul 9, 2025
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