Question

A triangle has two sides that have lengths of 37 cm and 19 cm. Which could represent the possible length of the third side?

Answer 1

`18cm<X<56cm`

Explanation:

From the question we are told that

First side 37 cm

Second side 19 cm

Generally considering the triangle inequality theorem we have

`37+19>X\\X+37>19\\X+19>37`

Solving equations we have

`X<56\\X>18\\X>-18`

Generally from the inequalities the range of X is mathematically given as

`X>18\\X<56`

`18cm<X<56cm`

Therefore the range of the Third side is

`18cm<X<56cm`