Question

The retio of corresponding sides of similar triangles is 3:5, then find ratio of their areas.​

Answer 1

Answer:

Let the ratio of corresponding sides of similar triangles is S

1

:S

2

=3:5

since the triangles are similar then

A

2

A

1

=(

S

2

S

1

)

2

=(

5

3

)

2

=

16

9

∴ the ratio of the area is 9:16

Hipe it helps

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Answer 2

$\tt{We \: know \: the \: ratio \: of \: area \: of \: two}$

$\tt{triangles \: = (ratio \: of \: sides)^{2} }$

$\tt{Now, \: putting \: the \: values,} \\ \tt{we \: get, (3 : 5)^2}$

$\tt{\therefore \: = {3}^{2} \colon {5}^{2} }$

$\tt{\implies\huge{\boxed{\boxed{9 \: \colon25}}}}$

$\tt{Hope \: it \: help's \: You}$

$\tt{Drop \: some \: Thanks \: and}$

$\tt{Mark \: as \: Brainliest}$