Item 6
DD is the centroid of △ABC△ABC. What is the value of xx when BD=−x+45BD=−x+45 and BF=21xBF=21x?
D is the centroid of △ABC. What is the value of x when BD = 45 - x and BF = 21x?
(I assume that BF is a median of triangle ABC)
BD : DF = 2 : 1
45 - x = 2(21x)
x = 45/43