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Question Number 147606 by vvvv last updated on 22/Jul/21

$$\frac{\mathbf{R}}{\mathit{r}}=\frac{5}{2}\Rightarrow \mathit{a}:\mathit{b}:\mathit{c}=3:4:5$$$$\mathbf{prove}$$$$\mathbf{R},\mathit{r}-\mathbf{radius}$$$${\mathbf{h}}_{\mathbf{a}}:{\mathbf{h}}_{\mathbf{b}}:{\mathbf{h}}_{\mathbf{c}}=\frac{1}{\mathit{a}}:\frac{1}{\mathit{b}}:\frac{1}{\mathit{c}}=\mathit{b}\mathit{c}:\mathit{a}\mathit{c}:\mathit{a}\mathit{b}$$$$\mathit{p}\mathit{r}\mathit{o}\mathit{v}\mathit{e}$$

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