Correspondingsides of two triangles are in the ratio `2 :3`. If theare – InterviewSolution

InterviewSolution

1.	Correspondingsides of two triangles are in the ratio `2 :3`. If thearea of the smaller triangle is `48 c m^2`, determinethe area of the larger triangle.
Answer» Given, ratio of corresponding sides of two similar triangles=2 : 3 or `2/3` Area of smaller triangle. Ratio of area of both triangles=`("Ratio of their corresponding sides")^(2)` i.e., `(ar("smaller triangle"))/(ar("larger triangle"))=(2/3)^(2)` `rArr 48/(ar("larger triangle"))=4/9` `rArr` ar(larger triangle)=`(48xx9)/4=12xx9=108 cm^(2)`

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