Question

the perimeter of two similar triangles are 12cm and 72cm. if the area of the smaller triangle is 6 cm sq find the area of the bigger triangle​

Answer 1

area of the bigger triangle​ is  216 cm²

Step-by-step explanation:

As we know that the ratios of the two corresponding sides of a two similar traingles is equal to  the ratio of their perimeter

Also the ratio of the areas of the two similar triangle is equal to the square of the ratio of their corresponding sides

then ,

let the area of the bigger traingle is x

therefore

according to the question

$\frac{6}{x}= (\frac{12}{72} )^2 = \frac{1}{36}$

then

$\frac{6}{x} = \frac{1}{36}$

x = 36 × 6

x = 216 cm²

#Learn more:

The areas of two similar triangles are 12cm sq and 48 cm sq . if the height of the similar one is 2.1 cm , then the corresponding height of the bigger one is

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