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 22599 by ajfour last updated on 20/Oct/17

Commented by ajfour last updated on 20/Oct/17

If P, Q, R be foot of altitudes,  find ((Area( △ABC))/(Area (△PQR))) .

$${If}\:{P},\:{Q},\:{R}\:{be}\:{foot}\:{of}\:{altitudes}, \\ $$$${find}\:\frac{{Area}\left(\:\bigtriangleup{ABC}\right)}{{Area}\:\left(\bigtriangleup{PQR}\right)}\:. \\ $$

Commented by Tinkutara last updated on 20/Oct/17

Can you prove that circumradius of  ΔPQR is half the circumradius of ΔABC?  Also how to find the sides?

$$\mathrm{Can}\:\mathrm{you}\:\mathrm{prove}\:\mathrm{that}\:\mathrm{circumradius}\:\mathrm{of} \\ $$$$\Delta\mathrm{PQR}\:\mathrm{is}\:\mathrm{half}\:\mathrm{the}\:\mathrm{circumradius}\:\mathrm{of}\:\Delta\mathrm{ABC}? \\ $$$$\mathrm{Also}\:\mathrm{how}\:\mathrm{to}\:\mathrm{find}\:\mathrm{the}\:\mathrm{sides}? \\ $$

Commented by ajfour last updated on 20/Oct/17

Yes,  i can. but it is lengthy.

$${Yes},\:\:{i}\:{can}.\:{but}\:{it}\:{is}\:{lengthy}. \\ $$

Commented by Tinkutara last updated on 20/Oct/17

Please can you post that?

$$\mathrm{Please}\:\mathrm{can}\:\mathrm{you}\:\mathrm{post}\:\mathrm{that}? \\ $$

Commented by ajfour last updated on 21/Oct/17

See  Q.22649.

$${See}\:\:{Q}.\mathrm{22649}. \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com