The ratio between the perimeters of two similar triangles is equal to the ratio between their sides. Therefore, if the ratio between the perimeters is 4:9, then the ratio between the sides of the two triangles is also 4:9.
Since the surface area of a triangle is proportional to the square of its side length, we can square the ratio between the sides to find the ratio between their surface areas.
(4:9)^2 = 16:81
Therefore, the ratio between the surface areas of the two similar triangles is 16:81.
if the ratio between the perimeters of two similiar triangles is 4:9 , then the ratio between their two surface areas =
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