Question

Two sides of a triangle have lengths 18 cm and 40 cm. Describe the possible lengths of the third side.

Answer 1

depends if it is a right triangle or not and if it is u will use the pothygerem theorem or the distance formula

Answer 2

Here, two side lengths of a triangle given, 18 cm and 40 cm.

We know that, the sum of the lengths of any two sides of a triangle is greater that the third side.

So here, let's take the third side be x.

So we can write ,

`18+40 > x`

`58> x`

`x<58`

Also we can write,

`18+x > 40`

We will get x by subtracting 18 to both sides. We will get,

`18+x -18 >40-18`

`x>40-18`

`x>22`

Also we can write,

`40+x > 22`

As we know 40 >22, so it is obvious 40+x will be greater than 22, as x can not be negative.

So we will take the first two parts, we have got,

`x<58` and
`x>22`

By using both of them, we can write,

`22<x<58`

So we have got the required answer. Possible length of the third side is
`22<x<58`.