1.

Is it possible to have a triangle with the following sides? (i) 3 cm, 4 cm and 5 cm. (ii) 6 cm, 6 cm and 6 cm. (iii) 4 cm, 4 cm and 8 cm. (iv) 3 cm, 5 cm and 7 cm.

Answer»

i) 3 + 4 > 5 ; 4 + 5 > 3 ; 3 5 > 4, 

∴ Yes, a triangle can be formed with these sides.

 ii)  ∴Yes. A triangle can be formed with these sides.

iii) 4 + 4 > 8

∴ With these sides, a triangle cannot he formed. 

iv) 3 + 5 > 7; 5 + 7 > 3; 3 + 7 > 5 

∴ Yes. A triangle can he formed with these sides.



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