(2, 4), (-3, -1), (5, 3) എന്നിവ ശീർഷങ്ങളായുള്ള ഒരു  ത്രികോണത്തിന്റെ വിസ്തീർണ്ണം:

This question was previously asked in
RRB ALP Previous Paper 11 (Held On: 17 Aug 2018 Shift 1)
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  1. 7 ചതുരശ്ര യൂണിറ്റുകൾ
  2. 14 ചതുരശ്ര യൂണിറ്റുകൾ
  3. 20 ചതുരശ്ര യൂണിറ്റുകൾ 
  4. 10 ചതുരശ്ര യൂണിറ്റുകൾ

Answer (Detailed Solution Below)

Option 4 : 10 ചതുരശ്ര യൂണിറ്റുകൾ
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Detailed Solution

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നൽകിയിരിക്കുന്നത്:

(x1 ,y1) =  (2, 4),

(x2,y2) = (-3, -1) 

(x3 ,y3)= (5, 3)

ഉപയോഗിച്ച സൂത്രവാക്യം:

ത്രികോണത്തിന്റെ വിസ്തീർണ്ണം = [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)]/2

കണക്കുകൂട്ടൽ:

ത്രികോണത്തിന്റെ വിസ്തീർണ്ണം = [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)]/2

സൂത്രവാക്യത്തിലെ മൂല്യങ്ങൾ മാറ്റിസ്ഥാപിക്കുമ്പോൾ 

⇒ [2(-1 – 3) + (-3)(3 – 4) + 5(4 + 1)]/2

⇒ [-8 + 3 + 25]/2 = 10 ചതുരശ്ര യൂണിറ്റുകൾ

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