In a ∆ABC and ∆DEF if AD/DE=BC/EF=AC/DF=5/9 then find the ratio of ar.∆ABC:ar∆DEF
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Hi !
In ∆ABC and ∆DEF ,
AB/DE = BC/EF = AC/DF = 5/9
∴ ∆ABC ~ ∆DEF [ SSS ]
By theorem ,
ar(ABC)/ar(DEF) = {AB/DE}²
= {5/9}²
=25/81
Ratio of ar.∆ABC:ar∆DEF = 25:81 or 5:9
In ∆ABC and ∆DEF ,
AB/DE = BC/EF = AC/DF = 5/9
∴ ∆ABC ~ ∆DEF [ SSS ]
By theorem ,
ar(ABC)/ar(DEF) = {AB/DE}²
= {5/9}²
=25/81
Ratio of ar.∆ABC:ar∆DEF = 25:81 or 5:9
ayush198:
are you sure
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