[108 sq.cm] Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the small trian

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Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the small triangle is 48 sq.cm, then the area of large triangle is:

230 sq.cm

106 sq.cm

107 sq.cm

108 sq.cm

Explanation:

Let A1 and A2 are areas of the small and large triangle.

Then,

$\dfrac{A2}{A1}$=($\dfrac{side \:\: of \:\: large \:\: triangle}{side \:\: of \:\: small \:\: triangle}$)

$\dfrac{A2}{48}=(\dfrac{3}{2})^2$

A2=108 sq.cm.

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