Question Number 44334 by Raj Singh last updated on 27/Sep/18
Answered by tanmay.chaudhury50@gmail.com last updated on 27/Sep/18
$${area}\:{of}\:{triangle}=\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{8}×\mathrm{15}=\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{8}×{r}+\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{15}×{r}+\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{17}×{r} \\ $$$$\mathrm{8}×\mathrm{15}=\mathrm{8}{r}+\mathrm{15}{r}+\mathrm{17}{r} \\ $$$$\mathrm{40}{r}=\mathrm{120} \\ $$$${r}=\mathrm{3} \\ $$$${hyp}=\sqrt{\mathrm{8}^{\mathrm{2}} +\mathrm{15}^{\mathrm{2}} }\:=\mathrm{17} \\ $$