The triangular prism with a side of 16.8 cm and a height of 20.4 cm will be similar to the triangular prism with a side of 8.4 cm and a height of 10.2 cm.
What are Similar figures?
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
As we know for similar figures, the ratio of their corresponding sides is in ratio, therefore, if multiply the dimension of the given prism by 2, we will get the similar triangular prism that we need.
[tex]\text{Side of the triangle} = 8.4\rm\ cm \times 2 = 16.8\ cm[/tex]
[tex]\text{Height of the prism} = 10.2\rm\ cm \times 2 = 20.4\ cm[/tex]
Thus, the triangular prism with a side of 16.8 cm and a height of 20.4 cm will be similar to the triangular prism with a side of 8.4 cm and a height of 10.2 cm.
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