Question and Answers Forum

All Questions      Topic List

Coordinate Geometry Questions

Previous in All Question      Next in All Question      

Previous in Coordinate Geometry      Next in Coordinate Geometry      

Question Number 132131 by Ar Brandon last updated on 11/Feb/21

Commented by Ar Brandon last updated on 11/Feb/21

$$\mathrm{Find}\mathrm{the}\mathrm{relation}\mathrm{between}\mathrm{the}\mathrm{areas}\mathrm{of}$$$$\mathrm{triangle}\mathrm{ABC}\mathrm{and}\mathrm{triangle}{\mathrm{A}}^{\prime }{\mathrm{B}}^{\prime }{\mathrm{C}}^{\prime }$$

Commented by mr W last updated on 11/Feb/21

$$ifA,B,Carethemidpoints,then$$$$\frac{{\mathrm{\Delta }}_{ABC}}{{\mathrm{\Delta }}_{A^{\prime }{B}^{\prime }{C}^{\prime }}}=\frac{1}{7}$$

Commented by Ar Brandon last updated on 11/Feb/21

$$\mathrm{Sir},\mathrm{can}\mathrm{you}\mathrm{prove}\mathrm{the}\mathrm{theory}?$$$$\mathrm{I}\mathrm{tried},\mathrm{but}\mathrm{got}\mathrm{stucked}.$$

Commented by mr W last updated on 11/Feb/21

Commented by mr W last updated on 11/Feb/21

$$eachofthe7smalltriangleshasthe$$$$samearea.$$

Commented by mr W last updated on 11/Feb/21

$$example:$$$$A^{\prime }B=BA\Rightarrow {\mathrm{\Delta }}_{A^{\prime }BC}={\mathrm{\Delta }}_{ABC}$$$$B^{\prime }C=CB\Rightarrow {\mathrm{\Delta }}_{A^{\prime }{B}^{\prime }C}={\mathrm{\Delta }}_{A^{\prime }BC}={\mathrm{\Delta }}_{ABC}$$

Commented by Ar Brandon last updated on 11/Feb/21

$$\mathrm{OK}\mathrm{Sir}$$

Commented by Ar Brandon last updated on 11/Feb/21

Thanks

Terms of Service

Privacy Policy

Contact: info@tinkutara.com