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(i) OP + OQ > PQ?

(ii) OQ + OR > QR?

(iii) OR + OP > RP?

Answer :

(i) Yes, \(\triangle \)OPQ has sides OP, OQ and PQ.

So, OP + OQ > PQ

(ii) Yes, \(\triangle \)OQR has sides OR, OQ and QR.

So, OQ + OR > QR

(iii) Yes, \(\triangle \)ORP has sides OR, OP and PR.

So, OR + OP > RP

- Q.1 Is it possible to have a triangle with the following sides? (i) 2 cm, 3 cm, 5 cm (ii) 3 cm, 6 cm, 7 cm (iii) 6 cm, 3 cm, 2 cm
- Q.3 AM is a median of a \(\triangle \) ABC. Is AB + BC + CA > 2 AM? (Consider the sides of triangles \(\triangle \)ABM and \(\triangle \)AMC.)
- Q.4 ABCD is a quadrilateral. Is AB + BC + CD + DA > AC + BD?
- Q.5 ABCD is a quadrilateral. Is AB + BC + CD + DA < 2(AC + BD)?
- Q.6 The length of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

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