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000stefimaria000:
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In triangle PQS
pq + qs > ps ------------------(i)
In triangle PRS
pr + sr > ps -------------------(ii)
from (i) & (ii)
pq + qs + sr + pr > ps + ps
pq + (qs + sr ) + pr > 2ps
pq + qr + pr > 2ps
pq + qs > ps ------------------(i)
In triangle PRS
pr + sr > ps -------------------(ii)
from (i) & (ii)
pq + qs + sr + pr > ps + ps
pq + (qs + sr ) + pr > 2ps
pq + qr + pr > 2ps
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