Question
Download Solution PDFIf the areas of two similar triangles are in the ratio 196 ∶ 625,what would be the ratio of the corresponding sides?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Area of △ABC : Area of △DEF = 196 : 625
Formula used:
Area of △1/Area of △2 = (side of △1)2/(side of △2)2
Calculation:
Area of △ABC/Area of △DEF = (AB)2/(DE)2
⇒ 196/625 = (AB/DE)2
⇒ AB/DE = √196/√625 = 14/25
∴ The correct option is 1.
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