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Given- S is any point in the interior of triangle PQR
To Proove- SQ+SR <PQ+PR
Proof-
# Produce QS to intersect PR at T
FROM PQT, we have
PQ+PT>QT ( Sum of any two sides is greater than the third side)
I. e. PQ+PT>SQ+ST........ (1)
from TSR ..
ST+TR>SR........ (2)
Adding 1 and 2
PQ+PT+ST+TR> SQ+ST+SR
PQ+PT+TR> SQ+SR
PQ+PR>SQ+ SR
SQ+SR <PQ+PR
HENCE PROVED....
To Proove- SQ+SR <PQ+PR
Proof-
# Produce QS to intersect PR at T
FROM PQT, we have
PQ+PT>QT ( Sum of any two sides is greater than the third side)
I. e. PQ+PT>SQ+ST........ (1)
from TSR ..
ST+TR>SR........ (2)
Adding 1 and 2
PQ+PT+ST+TR> SQ+ST+SR
PQ+PT+TR> SQ+SR
PQ+PR>SQ+ SR
SQ+SR <PQ+PR
HENCE PROVED....
Anonymous:
btw. .which wrksheet is this??
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