A triangle ABC has been enlarged by scale factor m= 2.5 to the triangle A' B' C'. Calculate the length of AB, if A' B' =6 cm.

4.4 cm

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3.4 cm

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2.4 cm

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2.1 cm

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Solution

The correct option is D 2.4 cm
$△ A B C$ is enlarged to $△ A^{'} B^{'} C^{'}$ ,
Thus, $\frac{A^{'} B^{'}}{A B} = 2.5$
$\Rightarrow \frac{6}{A B} = 2.5$
$\Rightarrow A B = \frac{6}{2.5}$
$\Rightarrow A B = 2.4$ cm

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Similar questions

A triangle ABC has been enlarged by scale factor k = 2.5 to the triangle A' B' C'.

Calculate:

(i) the length of AB, if A' B' = 6cm.

(ii) the length of C'A' if CA= 4cm.

A Triangle ABC with AB=3cm BC=6cm AC=4cm is enlarged to a triangle DEF with longest side = 9cm.

Find the scale factor and hence the lengths of other sides of triangle DEF.

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