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Answer :

Sum of two sides

= 12 cm + 15 cm = 27 cm

Difference of the two sides

= 15 cm – 12 cm = 3 cm

\(\therefore \) The measure of third side should fall between 3 cm and 27 cm.

- 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.2 Take any point O in the interior of a triangle PQR. Is (i) OP + OQ > PQ? (ii) OQ + OR > QR? (iii) OR + OP > RP?
- 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)?

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