Question

$\huge\blue{\mid{\fbox{\tt{QUESTION}}\mid}}$
The ratio of corresponding sides of similar triangles is 5 : 18 ; then find the ratio of their areas ​

Answer 1

Answer:

The ratio of area of two triangles are 25:36

Step-by-step explanation:

Let us take two same triangles of ABC and PQR as mentioned in the below image attached.

Let the corresponding sides be AB and PQ, hence as mentioned in the question sides are in ratio of 5: 6.

Ratio of areas of two similar rectangle can be calculated by squaring ratio of sides given.

Therefore, Ratio of area = Square of given sides

Answer 2

Answer:

$\color{red}{} let \:ΔABC \: and \: ΔPQR \: are \: two \: \\ \color{red}{}similar \: triangle \: and\: ratio \: of \\ \color{red}{}corresponding \: sides \:is \\ \color{red}{ \frac{AB}{PQ} = \frac{5}{18} } \\ \color{blue}{ \underline{if \: two \: triangles \: are \: similar :}} \\ then, \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \frac{ar(∆ABC)}{ar(∆PQR)} = \frac{ {(AB)}^{2} }{ {(PQ)}^{2} } = \frac{ {(5)}^{2} }{ {(18)}^{2} } = \frac{25}{324} \\ \\\red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$