Question and Answers Forum

All Questions      Topic List

Arithmetic Questions

Previous in All Question      Next in All Question      

Previous in Arithmetic      Next in Arithmetic      

Question Number 22929 by selestian last updated on 24/Oct/17

Answered by ajfour last updated on 24/Oct/17

$$\left(A\right)$$$$r(\cot \frac{A}{2}+\cot \frac{B}{2})=c$$$$r(\cot \frac{B}{2}+\cot \frac{C}{2})=a$$$$r(\cot \frac{C}{2}+\cot \frac{A}{2})=b$$$$2b=a+c,so$$$$2r(\cot \frac{C}{2}+\cot \frac{A}{2})=r(\cot \frac{A}{2}+$$$$+2\cot \frac{B}{2}+\cot \frac{C}{2})$$$$\Rightarrow \cot \frac{C}{2}+\cot \frac{A}{2}=2\cot \frac{B}{2}$$$$Foratriangle\mathrm{\Sigma }\cot \frac{A}{2}=\mathrm{\Pi }\cot \frac{A}{2}$$$$\Rightarrow \cot \frac{A}{2}\cot \frac{B}{2}\cot \frac{C}{2}-\cot \frac{B}{2}$$$$=2\cot \frac{B}{2}$$$$\Rightarrow \cot \frac{A}{2}\cot \frac{C}{2}=3$$$$\Rightarrow \cot \frac{\mathit{A}}{2}=3\tan \frac{A}{2}.$$$$$$$$$$

Commented by selestian last updated on 24/Oct/17

$$sirplzsendmethesolutionplzplz$$$$$$

Commented by math solver last updated on 24/Oct/17

$$sirhowyouwrotethe1st3eq.?$$$$r(....)=a.....??$$

Commented by ajfour last updated on 24/Oct/17

$$diagram?whichpartespecialy$$$$doiexplainmore?$$

Commented by selestian last updated on 24/Oct/17

$$thankssircanyouplZxplain$$

Commented by ajfour last updated on 25/Oct/17

$$seeQ.23009$$

Commented by selestian last updated on 25/Oct/17

$$plzxplAinfromthelineforatriangle$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com