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Construction of Similar Triangles

If an equilat...

Question

If an equilateral triangle is scaled by 3 : 5, then the ratio of its original area to the new area is .

A

9 : 25

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B

3 : 5

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C

6 : 10

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Solution

The correct option is A 9 : 25
Scale factor = 3 : 5
let the common ratio be $x$

So, the sides of the original triangle $= 3 x$
and the sides of the new triangle $= 5 x$
Therefore,
the ratio of their areas =
$\frac{(3 x)^{2}}{(5 x)^{2}} = \frac{9}{25} o r 9 : 25$

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