AD||BCగా కలిగిన ABCD ఒక సమద్విబాహు సమలంబ/విషమ చతుర్భుజం, AB = 5 సెం.మీ., AD = 8 సెం.మీ. మరియు BC = 14 సెం.మీ. ఆ సమలంబ/విషమ చతుర్భుజం యొక్క వైశాల్యం (సెం.మీ.2 లలో) ఎంత?

This question was previously asked in
SSC CGL Previous Paper 13 (Held On: 11 August 2017 Shift 1)
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  1. 36
  2. 44
  3. 88
  4. 144

Answer (Detailed Solution Below)

Option 2 : 44
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పై పటం నుండి, త్రిభుజం AOBలో పైథాగరస్ సిద్ధాంతం ఉపయోగించి, 

⇒ AB2 = BO2 + OA2

⇒ 52 = 32 + OA2

⇒ OA = 4 సెం.మీ.  ఇది సమలంబ/విషమ చతుర్భుజం యొక్క ఎత్తుకు సమానం

⇒ వైశాల్యం = 1/2 × (ఎత్తు) × (సమాంతర భుజాల పొడవుల మొత్తం)

⇒ వైశాల్యం = 1/2 × 4 × (8 + 14) = 44

∴ వైశాల్యం 44 సెం.మీ.2

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