Question

A triangle has sides with lengths: 14, 9, and 4. How do you find the area of the triangle using Heron's formula?

Answer 1

`"The sides with this length does not perform the triangle."`
`b+c < a`

Explanation:

Let `triangle ABC` be the triangle with

`a=14,b=9 and c=4`

The perimeter of triangle is:

`2s=a+b+c=14+9+4=27=>s=27/2=13.5`

`:.s-a=13.5-14=-05`

So, let us check three sides of triangle.

`(i)a+b=14+9=23> c`

`(ii)b+c=9+4=13 < ato`[as `a=14]`

Hence , the sides with this length does not perform the
triangle.