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Triangle ABC ~ triangle DEF. BC = 9 cm and EF = 6 cm.
The area of triangle DEF is $24 cm^{2}$ .
Find the area of triangle ABC (in $cm^{2}$ ).

Class 10Areas of Similar TrianglesGeometry — Similarity

A54
B108
C49
D59

Step-by-Step Solution

Area(ABC)/Area(DEF) =

(BC / EF)^{2} = (\frac{9}{6})^{2} = \frac{9}{4}

. Area(ABC) =

24 \times \frac{9}{4} = 54 cm^{2}

.

Answer: A) 54

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