Find the ratio of the area of \triangle A B C : area of \triangle D E C .

ICSE Class X Math 2013 Solved Paper - Question 15

In the given figure, $A B$ and $D E$ are perpendicular to $B C$ .

Question : 15 of 46

Marks: +1, -0

Find the ratio of the area of

△ A B C

: area of

△ D E C

Solution:

\;\;{\;\text " Area of "\; △ {\ABC}}/{\;\text " Area of "\; △ {\DEC}}=\;{ {\AB}^2}/{ {\DE}^2}

\;( ∵ ∆ {\ABC} ∼ ∆ {\DEC})

\;=\;{(6)^2}/{(4)^2}=\;{36}/{16}=\;{9}/{4} \;\text " or "\; 9: 4

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