Question

the ratio coresponding sides of triangle is 3:5 the find the ratio of their sidrs​

Answer 1

Answer:

Ratio of areas=9:25

\begin{gathered} Given \: ratio \: of \: corresponding \:sides \\of \: similar \: triangles = 3:5 \end{gathered}

Given ratio of corresponding sides

of similar triangles=3:5

\pink { If \:two: triangles \:are \:similar: then}If two triangles are similar then

\pink { ratio \:of \: their \: areas \: equal:to\:ratio}ratio of their areas equal to ratio

\pink { of \: squares \: of \: corresponding \: sides }of squares of corresponding sides

\begin{gathered} Now, \: Ratio \: of \: areas = \frac{3^{2}}{5^{2}}\\= \frac{9}{25}\\= 9 : 25 \end{gathered}

Now,Ratio of areas=

5

2

3

2

=

25

9

=9:25

Therefore.,

\red {Ratio \: of \: areas} \green{= 9:25}Ratio of areas=9:25

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Answer 2

Answer:

$\huge\sf\underline\purple{Answer}</p><p></p><p>$

SOLUTION

According to theorem of areas of similar triangles "When two triangles are similar, the ratio of areas of those triangles is equal to the ratio of the squares of their corresponding sides".

Therefore, the ratio of the areas of triangles

$\[= \frac{3^2}{5^2}\] </p><p></p><p>\[= \frac{9}{25}\]$