Triangle Tip

Geometry Level pending

In a triangle A B C ABC , x + y + 2 = 0 x+y+2=0 is the perpendicular bisector of side A B AB and it meets AB at ( 1 , 1 ) (-1,-1) . If x y 1 = 0 x-y-1=0 is the perpendicular bisector of side A C AC and it meets A C AC at ( 2 , 1 ) (2,1) and P P is the mid point of B C BC then distance of p p from orthocentre of triangle A B C ABC is:

√17 √5 √8 √13

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