Question

6. The lengths of two sides of a triangle are 5 cm and 8 cm. Between what two measuresshould the length of the third side fall

Answer 1

triangle inequality: the sum of the length of two sides of a triangle must always be greater than the length of the third side.

we know 2 sides whose sum = 5+8 = 13cm

the 3rd side must be <13 included

the length of the third side must be less than 13 cm, i.e. between 1 and 13 (it cannot be equal to 0 because in this case it does not exist)