Question

in △abc, the measure of side c is 3.9 cm. if △def is a dilation of △abc with a scale factor of 2.5, what is the measure of side f? f = cm

Explanation:

Step1: Recall dilation formula

The length of a side in the dilated figure is the length of the corresponding side in the original figure times the scale - factor. Let the length of side $c$ in $\triangle ABC$ be $c_1 = 3.9$ cm and the scale - factor be $k = 2.5$. The length of the corresponding side $f$ in $\triangle DEF$ is given by $f=k\times c_1$.

Step2: Calculate the length of side $f$

$f = 2.5\times3.9$
$f=9.75$ cm

Answer:

$9.75$