two Triangles are similar and the ratio of their corresponding side is sister creation by an area of a smaller triangle is 48 find the area of a larger triangle
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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
Step-by-step explanation:
thank you
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