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प्रश्न
If ΔABC and ΔDEF are similar and AB : DE = 5 : 4, find the ratio of the area of ΔАBC and the area of ΔDEF.
बेरीज
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उत्तर
Since △ABC ∼ △DEF,
`"Area of △ABC"/"Area of △DEF" = ((AB)/(DE))^2`
Given,
AB : DE = 5 : 4
So,
`"Area of △ABC"/"Area of △DEF" = (5/4)^2`
= `25/16`
∴ Area of △ABC : Area of △DEF = 25 : 16
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