Mathematics, 15.07.2019 00:00 areanna02
If the ratio of areas of two similar polygons is 25: 49, what is the ratio of the corresponding side lengths
Answers: 1
![\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ \stackrel{\textit{ratio of sides}}{\cfrac{s}{s}}=\stackrel{\textit{ratio of the areas}}{\cfrac{\sqrt{s^2}}{\sqrt{s^2}}}\implies \cfrac{s}{s}=\cfrac{\sqrt{25}}{\sqrt{49}}\implies \cfrac{s}{s}=\cfrac{5}{7}](/tpl/images/0090/4505/c5099.png)
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If the ratio of areas of two similar polygons is 25: 49, what is the ratio of the corresponding side...
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