Math, asked by newsten, 1 year ago

a point s is in the interior of triangle PQR prove that PQ+PR>SQ+ SR

Answers

Answered by abhijeetshinkre
7
Produce QS to intersect PR at t.
From ΔPQT we have,
PQ+PT>QT                                          [sum of 2 sides of a Δ is greater than the                                                                                                                                      3rd]
i.e. PQ+PT>SQ+ST                                   (1)
From 
ΔTSR we have ,
ST+TR>SR                                                  (2)
By adding (1)&(2),
PQ+QT+ST+TR>SQ+ST+SR
∴PQ+PT+TR>SQ+SR
∴PQ+PR>SQ+SR

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