Find the ratio of areas of two similar right triangles whose scale factor is 3 : 4.

$\frac{16}{9}$

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$\frac{9}{16}$

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$\frac{6}{8}$

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$\frac{27}{64}$

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Solution

The correct option is B
$\frac{9}{16}$

For two similar triangles

$\frac{A r e a o f o n e t r i a n g l e}{A r e a o f a n o t h e r t r i a n g l e} = (\frac{3}{4})^{2}$

$\frac{A r e a o f o n e t r i a n g l e}{A r e a o f a n o t h e r t r i a n g l e} = \frac{9}{16}$

Suggest Corrections

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Δ A B C

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