The Special Point In A Triangle 1

Geometry Level 5

Let OO be a point in triangle ABCABC.

DD is the intersection of AOAO and BCBC. E,FE,F are defined similarly.

XX is the intersection of EFEF and ADAD. Y,ZY,Z are defined similarly.

Let PP be the intersection of XYXY and CFCF and QQ be the intersection of XZXZ and BEBE.

RR is the intersection of APAP with BCBC and SS is the intersection of AQAQ with BCBC.

Find: 4×BS×RCSC×BR\dfrac{4 \times BS \times RC}{SC \times BR}.

The Special Point in A Triangle 2

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