ΔABC में, AB और AC पर क्रमशः बिंदु D और E है। DE, BC के समानांतर है। यदि AD, DB और DE की लम्बाई क्रमशः 8 सेमी, 6 सेमी और 4 सेमी है, तो BC की लम्बाई क्या है?

  1. 7 सेमी
  2. 4 सेमी
  3. 6 सेमी
  4. 10 सेमी

Answer (Detailed Solution Below)

Option 1 : 7 सेमी
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Detailed Solution

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दिया हुआ है

AD = 8 सेमी; DB = 6 सेमी; DE = 4 सेमी

AB की लम्बाई = AD + DB = 8 + 6 = 14 सेमी

गुण:

किसी भी भुजा के समानांतर खींची गयी रेखा, अन्य दो भुजाओं को काटती है” हमें दिया गया है

⇒ AD/DE = AB/BC

⇒ 8/4 = 14/BC

⇒ BC = 14 × 4/ 8

⇒ BC = 56/8 = 7 सेमी

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