1. The area of a right angled triangle ABC, right angled at B, is 46 sq units. A median is drawn from A to BC which intersects at D. Find the area (in sq. units) of triangle ABD.
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By: anil on 05 May 2019 02.04 am
Note :- A median divides a triangle into two parts of equal areas. Proof : It is given that $$ar( riangle ABC)=46$$ sq.units Also, AD bisects BC, let BC = $$2x$$ units => BD = $$frac{2x}{2}=x$$ units $$ herefore$$ $$frac{ar( riangle ABD)}{ar( riangle ABC)}=frac{frac{1}{2} imes(AB) imes(BD)}{frac{1}{2} imes(AB) imes(BC)}$$ => $$frac{ riangle}{46}=frac{x}{2x}$$ => $$ riangle=frac{46}{2}=23$$ sq.units => Ans - (B)
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