Question
Download Solution PDFThe ratio of the lengths of two corresponding sides of two similar triangles is 15 : 14. The ratio of the areas of these two triangles, in the order mentioned, is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of the lengths of two corresponding sides of two similar triangles is 15 : 14.
Formula used:
The ratio of the areas of two similar triangles is the square of the ratio of their corresponding sides:
(Ratio of Areas) = (Ratio of Sides)2
Calculation:
Ratio of Sides = 15 : 14
⇒ Ratio of Areas = (15 : 14)2
⇒ Ratio of Areas = (15)2 : (14)2
⇒ Ratio of Areas = 225 : 196
∴ The correct answer is option (3).
Last updated on Jul 22, 2025
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