In right angled ΔABC, ∠ABC=90 and ∠BCA=60. The incircle of ΔABC touches sides BC and AB at points D and E respectively. Let F be the midpoint of DE. P, Q, R are the feet of perpendiculars from F on BC, CA, AB respectively.

Find (AB+BC+CA)/(PQ+QR+RP).

The required ratio (AB+AC+BC)/(PQ+QR+RP) is approximately equal to 2.68292345

Posted by K Sengupta on 2022-04-08 02:11:54