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Pythagoras Theorem

Question 2 ii...

Question

Question 2 (iii)
Take any point O in the interior of a triangle PQR :
Is OR + OP > RP?

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Solution

Join OR, OQ and OP.
Yes, ROP 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 + OR > PR.

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Q. Take any point O in the interior of a triangle PQR:
Is OP + OQ > PQ?
Is OP + OR > PR?
Is OQ+ OR > QR?

Question 2 (ii)
Take any point O in the interior of a triangle PQR:
Is OQ + OR > QR?

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

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Pythagoras Theorem

Standard VII Mathematics

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