Areas of two similar triangles are \( 392 \mathrm{~cm}^{2} \) and \( 800 \mathrm{~cm}^{2} \). If...

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Areas of two similar triangles are \( 392 \mathrm{~cm}^{2} \) and \( 800 \mathrm{~cm}^{2} \). If the length of a side of the larger triangle is \( 20 \mathrm{~cm} \), then the length of the corresponding side of the smaller triangle is:
a. \( 12 \mathrm{~cm} \)
b. \( 13 \mathrm{~cm} \)
c. \( 14 \mathrm{~cm} \)
d. \( 15 \mathrm{~cm} \)
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