# To determine: The ratio of the sides of the triangles ABC and GHI. Given: Triangle ABC that is 75% of its corresponding side in triangle DEF. Triangle GHI that is 32% of its corresponding side in triangle DEF.

To determine: The ratio of the sides of the triangles ABC and GHI.
Given:
Triangle ABC that is 75% of its corresponding side in triangle DEF.
Triangle GHI that is 32% of its corresponding side in triangle DEF.
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Calculation:
Since, the side of the triangle $\mathrm{△}ABC$ is 75% of the side of the triangle $\mathrm{△}DEF$.
$\frac{AB}{DE}=\frac{75}{100}$
$AB=\frac{3}{4}DE$...(1)
and, the side of the triangle $\mathrm{△}GHI$ is 32% of the side of the triangle $\mathrm{△}DEF$.
$\frac{GH}{DE}=\frac{32}{100}$
$\frac{GH}{DE}=\frac{8}{25}$
$DE=\frac{25}{8}GH$...(2)
Substitute equation (1) in equation (2).
$AB=\frac{3}{4}\left(\frac{25}{8}GH\right)$
$\frac{AB}{GH}=\frac{75}{32}$
Therefore, the ratio of the sides of the triangles ABC and GHI is $\frac{75}{32}$.