Question
Download Solution PDFIf two corresponding sides of two similar triangles, are in the ratio 9 ∶ 4, then what is the ratio of their areas?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
If two triangles are similar then,
Ratio of their areas = Square of ratio of their sides
Calculation:
Given,
Ratio of sides of similar triangle is 9 : 4
Using above concept,
⇒ \(\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2}\ =\ \frac{(Side\ of\ triangle\ 1)^{2}}{(Side\ of\ triangle\ 2)^{2}}\)
⇒ \(\frac{9^{2}}{4^{2}}\ =\ \frac{81}{16}\)
∴ The ratio of areas is 81 : 16.
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