शीर्ष (3, 13), (5, -8), और (4, -2) वाले त्रिभुज का क्षेत्रफल ज्ञात कीजिए। 

  1.  वर्ग इकाई 
  2. 17 वर्ग इकाई 
  3. 19 वर्ग इकाई 
  4. वर्ग इकाई 

Answer (Detailed Solution Below)

Option 4 : वर्ग इकाई 
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अवधारणा:

शीर्ष (x1, y1), (x2, y2) और (x3, y3), वाले एक त्रिभुज के क्षेत्रफल को निम्न समीकरण द्वारा ज्ञात किया जाएगा:

क्षेत्रफल = 

 

गणना:

यहाँ, शीर्ष (3, 13), (5, -8), और (4, -2) हैं। 

∴ त्रिभुज का क्षेत्रफल = 

 वर्ग इकाई

अतः विकल्प (4) सही उत्तर है। 

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