Question-22599

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