ΔABC मध्ये D आणि E अनुक्रमे AB आणि AC या बाजूवरील बिंदू आहेत. DE BC ला समांतर आहे. जर AD, DB आणि DE ची लांबी अनुक्रमे 8 सेमी, 6 सेमी आणि 4 सेमी असेल. BC ची लांबी किती आहे?

  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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दिलेल्याप्रमाणे 

 

AD = 8 सेमी; DB = 6 सेमी; DE = 4 सेमी

बाजूची लांबी AB = AD + DB = 8 + 6 = 14 सेमी

गुणधर्म:

कोणत्याही बाजूला समांतर काढलेली रेषा, बाकीच्या दोन बाजूंना एकाच प्रमाणात विभागते” आपल्याला मिळते, 

⇒ AD/DE = AB/BC

⇒ 8/4 = 14/BC

⇒ BC = 14 × 4/ 8

⇒ BC = 56/8 = 7 सेमी

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