Question and Answers Forum

All Questions      Topic List

Mensuration Questions

Previous in All Question      Next in All Question      

Previous in Mensuration      Next in Mensuration      

Question Number 176354 by BaliramKumar last updated on 16/Sep/22

Answered by Frix last updated on 16/Sep/22

$$\mathrm{in}△\mathrm{with}\mathrm{sides}a,b,c$$$$r=\frac{\sqrt{(a+b+c)(-a+b+c)(a-b+c)(a+b-c)}}{2(a+b+c)}$$$$\mathrm{in}\mathrm{this}\mathrm{case}r=15$$

Commented by BaliramKumar last updated on 16/Sep/22

$$thanks$$

Answered by behi834171 last updated on 16/Sep/22

$$p=\frac{51+52+53}{2}=\frac{156}{2}=78$$$$S=\sqrt{78\times 27\times 26\times 25}=1170$$$$\mathit{r}=\frac{\mathit{S}}{\mathit{p}}=\frac{1170}{78}=15$$$$\mathit{o}\mathit{r}:$$$$\mathit{S}=\frac{1}{2}\times r\times 51+\frac{1}{2}\times r\times 52+\frac{1}{2}\times r\times 53$$$$\Rightarrow 1170=\frac{1}{2}\mathit{r}\times 156\Rightarrow \mathit{r}=15.◼$$

Commented by BaliramKumar last updated on 16/Sep/22

$$thanks$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com