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Construction of a Quadrilateral When Other Special Properties Are Known

Question 2 i ...

Question

Question 2 (i)
Take any point O in the interior of a triangle PQR:
Is OP + OQ > PQ?

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Solution

Join OR, OQ and OP.
POQ forms a triangle. Since in a triangle sum of the lengths of any two sides would be greater than the length of the third side => OP + OQ > PQ .

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Question 2 (ii)
Take any point O in the interior of a triangle PQR:
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Construction of a Quadrilateral When Other Special Properties Are Known

Standard VIII Mathematics

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