Question

in triangle ABC p is a orthocenter.then p.t AB+BC+CA<2(PA+PB+PC)
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Answer 1

Answer:

We know that,

PG=2G0 where G is the centroid of the triangle.

Let a point D between B and C

So, OD=(OB+OC)/2

now, OA+OB+OC=OA+20D

We know that G divide the point A and mid-point of appoicte side D in ratio 2:1

So, OG=

2+1

(OA+20D)

So, OA+OB+OC=30G

=20G+OG

=GP+OG=OP