Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the smaller triangle is 48 cm2, then find the area of the larger triangle.


Given.

Ratio of corresponding sides of two similar triangles = 2:3 or


Area of smaller triangle = 48 cm2


By the property of area of two similar triangle,


Ratio of area of both triangles = (Ratio of their corresponding sides)2



area (larger triangle) =


area (larger triangle) = 12 × 9 = 108 cm2


So, the area of the larger triangle = 108 cm2


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