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

$(i).\ OP + OQ > PQ?$
$(ii).\ OQ + OR > QR?$
$(iii).\ OR + OP > RP?$"

AcademicMathematicsNCERTClass 7

Given: triangle PQR.

To do: To take any point O in the interior of a triangle PQR. And to find whether :

$(i).\ OP + OQ > PQ?$

$(ii).\ OQ + OR > QR?$

$(iii).\ OR + OP > RP?$


Solution:

$(i)$. Join $OR$, $OQ$ and $OP$

In $\triangle OPQ$,

$OP+OR>PQ$

yes, the $POQ$ form is a triangle.

$(ii)$ In $\triangle ORQ$

$OQ+OR>QR$

yes, $ORQ$ from a triangle.

$(iii)$ In $\triangle ORP$

$OR+OP>PR$

yes, $ORP$ form a triangle.
raja
Updated on 10-Oct-2022 13:34:22

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