The area of ΔABC is one unit. DE is a straight line parallel to BC joining the points D and E on AB and AC respectively. If AD : DB = 1 : 7, then the ratio of the area of the ΔADE and ΔABC is?
Answer & explanation
Correct answer: option 4
ΔADE ∼ ΔABC
\(\frac{area\;of\;ΔADE}{area\;of\;ΔABC}\) = (\(\frac{AD}{AB}\))2 = \(\frac{1}{8}\) = \(\frac{1}{64}\)