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

1 Answer
Aug 3, 2018

#"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.