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Consider a triangle ABC, G be the centro...

Consider a triangle ABC, G be the centroid , AB = c, BC= a, AC = b, p,q,r are the length of the angle bisectors of A,B,C respectively and p1,p2,p3 are the length of the Altitudes from vertices A,B,C respectively: Find 1. Value of ` sqrt ( p_1 ^(-2) + p_2 ^(-2) + p_3 ^(-2) )` ( `Delta ` denotes area of triangle) is 2. The value of` GA^2 + GB^2 + GC^2` is 3. The value of `1/p cos(A/2) + 1/q cos (B/2) + 1/r cos(C/2)` is

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