ΔABC ~ΔDEF if BC =3cm, EF=4cm and area of ΔABC =54cm²,then find the area ΔDEF.
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Answer:
96cm^2
Step-by-step explanation:
Given: Triangle ABC~TraingleDEF
BC=3cm,EF=4cm and area of traingle ABC=54cm^2
To find: Area of traingle DEF=x
Solution: Since traingle ABC~DEF
therefore,
Area of traingle ABC/Area of traingle DEF=BC/EF^2
=> 54/Area of traingle DEF=141^2
=> Area of traingle DEF =(54×16/9)
i.e Area of traingle DEF=96cm^2
Hence,
Area of DEF= 96cm^2
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