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Previous Year Question (PYQs)
2
In the triangle $ABC$, sides $AB$, $BC$, and $CA$ are extended such that $B'$, $C'$, and $A'$ are the new points formed.
If the area of $\triangle ABC = 1$ unit and
$AA' = 2AB,\ BB' = 2BC,\ CC' = 3AC$,
then find the area of $\triangle A'B'C'$.
Solution
Each side is scaled by 2, 2, and 3 respectively; the area ratio depends on the product of scale factors.
Hence, area $= 18$ times original.
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