9) The corresponding sides of two similar triangles are in the ratio 12:17 . respectively. The ratio of areas of two triangle be
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Answer:
ratio will be 17:12 not 12:17
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Step-by-step explanation:
Given, ratio of corresponding sides of two similar triangles =2:3 or 32
Area of smaller triangle =48cm2
By the property of area of two similar triangle,
Ratioofareaofbothtriangles=(Ratiooftheircorrespondingsides)2
⇒ ar(largertriangle)ar(smallertriangle)=(32)2
⇒ ar(largertriangle)48=94
⇒ Area of larger triangle =448×9=12×9=108cm2
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