ΔABC-യിൽ, D, E എന്നിവ യഥാക്രമം AB, AC എന്നീ വശങ്ങളിലുള്ള ബിന്ദുക്കളാണ്. DE BC യ്ക്ക് സമാന്തരമാണ്. AD, DB, DE എന്നിവയുടെ നീളം യഥാക്രമം 8 സെന്റീമീറ്റർ, 6 സെന്റീമീറ്റർ, 4 സെന്റീമീറ്റർ എന്നിങ്ങനെയാണെങ്കിൽ, BC യുടെ നീളം എത്രയാണ്?

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

Answer (Detailed Solution Below)

Option 1 : 7 cm
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നൽകിയിരിക്കുന്നത് 

AD = 8 cm; DB = 6 cm; DE = 4 cm

 AB വശത്തിന്റെ നീളം = AD + DB = 8 + 6 = 14 cm

LP FT 13 CH. Manisha 26 October 15 24

സവിശേഷത:

ഏത് വശത്തിനും സമാന്തരമായി വരച്ച ഒരു രേഖ, മറ്റ് രണ്ട് വശങ്ങളെയും ആനുപാതികമായി ഛേദിക്കുന്നുവെങ്കിൽ, നമുക്ക് ലഭിക്കുന്നത് 

⇒ AD/DE = AB/BC

⇒ 8/4 = 14/BC

⇒ BC = 14 × 4/ 8

⇒ BC = 56/8 = 7 cm
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