Question

Write down the total number of True statement:

Take any point O in the interior of a triangle PQR.

Is
(i) OP + OQ > PQ?
(ii) OQ + OR > QR?
(iii) OR + OP > RP?

Answer 1

$In△OPQ$

i) From property of triangles,

$OP+QO>PQ$

($\because$ Sum of two sides > third side)

ii)$△OQR:$

$OQ+QR>OR$

iii) Again, using same property in $△POR$

$OP+OR>PR$

$\therefore$ All 3 statements are true.