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The ratio of the corresponding altitudes of two similar triangles is `3/5`. Is it correct to say that ratio of their areas is `6/5`? Why? |
Answer» False By the property of area of two similar triangles `(("Area"_(1))/("Area"_(2)))=(("Atitude"_(1))/("Atitude"_(2)))^(2)` `rArr (("Area"_(1))/("Area"_(2)))=(3/5)^(2)` [`because("altitude"_(1))/("altitude"_(2))=3/5`] `=9/25ne6/5` So, given statement is not correct. |
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