Question and Answers Forum

All Questions      Topic List

Geometry Questions

Previous in All Question      Next in All Question      

Previous in Geometry      Next in Geometry      

Question Number 516 by 112358 last updated on 25/Jan/15

$$Findalltriangleswithconsecutive$$$$integersidesandhavinganangletwice$$$$anotherangle.$$

Commented by prakash jain last updated on 22/Jan/15

$$a=n$$$$b=n+1$$$$c=n+2$$$$\cos A=\frac{(n+5)}{2(n+2)}$$$$\cos B=\frac{n^2+2n+3}{2n(n+2)}$$$$\cos C=\frac{(n-3)}{2n}$$$$B=2A,C=2B,C=2A$$$$\mathrm{All}\mathrm{equation}\mathrm{give}\mathrm{no}\mathrm{integer}\mathrm{solution}$$$$\mathrm{except}n=1,\mathrm{which}\mathrm{does}\mathrm{not}\mathrm{form}$$$$\mathrm{a}\mathrm{triangle}.$$$$\mathrm{So}\mathrm{the}\mathrm{given}\mathrm{question}\mathrm{does}\mathrm{not}\mathrm{have}\mathrm{a}$$$$\mathrm{solution}.$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com