In triangle ABC, the lengths of sides AC and AB are 12cm


In $\triangle \mathrm{ABC}$, the lengths of sides $\mathrm{AC}$ and $\mathrm{AB}$ are $12 \mathrm{~cm}$ and $5 \mathrm{~cm}$, respectively. If the area of $\triangle \mathrm{ABC}$ is $30 \mathrm{~cm}^{2}$ and $\mathrm{R}$ and $\mathrm{r}$ are respectively the radii of circumcircle and incircle of $\triangle \mathrm{ABC}$, then the value of $2 R+r$ (in $\mathrm{cm}$ ) is equal to_____.


$\Delta=\frac{1}{2} .5 .12 . \sin \mathrm{A}=30$

$\sin A=1$

$\mathrm{A}=90^{\circ} \Rightarrow \mathrm{BC}=13$

$\mathrm{BC}=2 \mathrm{R}=13$


$2 \mathrm{R}+\mathrm{r}=15$

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