Problem
GEO-B2-M07-P006 Area Determines a Point
#6
★★☆☆☆ Level 2 of 5
Point \(P\) lies inside triangle \(ABC\), and line \(AP\) meets \(BC\) at \(D\). It is known that \([ABP]:[ACP]=6:5\). Find \(BD:DC\).
Use the formula from the previous problem.
By the formula, \(\frac{BD}{DC}=\frac{[ABP]}{[ACP]}=\frac{6}{5}\). Hence \(BD:DC=6:5\).
A short computation before more difficult problems.