1. In a triangle ABC, a line is drawn from C which bisects AB at point D. Find the ratio of area of the triangles DBC and ABC.





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  • By: anil on 05 May 2019 02.04 am
    Given : CD bisects AB, => AD = DB = $$frac{8}{2}=4$$ cm To find : $$frac{ar( riangle DBC)}{ar( riangle ABC)}=?$$ Solution : Clearly $$ riangle$$ ABC is a right angled triangle, $$ecause (10)^2=(8)^2+(6)^2$$ Thus, AC is the hypotenuse and $$ riangle$$ ABC is right angled at B. => AB = 8 cm is the height of triangle $$ herefore$$ $$frac{ar( riangle DBC)}{ar( riangle ABC)}=frac{frac{1}{2} imes(DB) imes(BC)}{frac{1}{2} imes(AB) imes(BC)}$$ = $$frac{4 imes6}{8 imes6}=frac{1}{2}$$ => Ans - (C)
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