Question

In the given figure BC is parallel to DE and it joins the midpoints of the respective sides, find the ratio of the area of $\Delta$ADE to area of $\Delta$ABC.

• A. $\frac{1}{2}$
• B. $\frac{1}{7}$
• C. $\frac{1}{6}$
• D. $\frac{1}{7}$
• E. $\frac{1}{4}$

Answer 1

The correct option is E

$\frac{1}{4}$

ince DE is parallel to the base and joining the midpoints of the sides it will be half of BC. $\Delta ABC\sim \Delta$ADE Ratio of their area = Ratio of the squares of their corresponding sides = 1:4