Question

Bach question carries 2 mark.
The perimeters of two similar triangles are 12 cm and 72 cm. If the area
of smaller thangle is 6 cm. find the area of
e is 6 cm'. find the area of bigger triangle.​

Answer 1

$\huge\boxed{\fcolorbox{red}{yellow}{Shailesh}}$

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

then

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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Answer 2

$\huge\star\mathfrak\blue{{Answer:-}}$

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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