Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

Mathematics-Online problems:

Interactive Problem 127: Parallelogram


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Consider a parallelogram $ ABCD$. Denote by $ M$ the centre of line segment $ \overline{BC}$ and let $ S$ denote the point of intersection of the line segment $ \overline{AM}$ and the diagonal $ \overline{BD}$.

a)
At what ratio does $ S$ partition the diagonal $ \overline{BD}$?
b)
What is the ratio of the area of the parallelogram $ ABCD$ to the area of the triangle $ BMS$?

\includegraphics[width=.6\linewidth]{a1_bild.eps}

Solution:

a)
The ratio $ \overline{BS} : \overline{SD}$ is : .
b)
The ratio area $ BMS$ : area $ ABCD$ is : .


   

()

see also:


  automatically generated: 2/ 6/2018