Question

answer any one of them plz do the full sum ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\red {\triangle DEF} \green {= 100\:cm^{2} }$

Step-by-step explanation:

Given ∆ABC ~ ∆DEF ,

BC = 4 cm , EF = 5 cm ,

Area of ∆ABC = 64 cm²,

Area of ∆DEF = ?

$\frac{ \triangle DEF}{\triangle ABC} = \frac{ EF^{2}}{BC^{2}}$

$\blue { The \:ratio \:of \:the \:areas \:of \:two }$

$\blue { similar \: triangles \:is \:equal \: to \:the}$

$\blue { ratio \:of \:the \:squares \:of \:their }$

$\blue { corresponding \: sides }$

$\implies \frac{ \triangle DEF}{64} = \frac{ 5^{2}}{4^{2}}$

$\implies \triangle DEF = \frac{ 25 \times 64 }{16}\\= 25 \times 4 \\= 100\:cm^{2}$

Therefore.,

$\red {\triangle DEF} \green {= 100\:cm^{2} }$

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