# A triangle has sides with lengths: 2, 8, and 3. How do you find the area of the triangle using Heron's formula?

##### 2 Answers

There is no such triangle since

#### Explanation:

It is not possible to form a triangle with such lengths of sides.

If the lengths of the sides of a triangle are

#a+b > c#

#b+c > a#

#c+a > b#

Oops the this is not going to work, why do you think it is?

#### Explanation:

heron's formula is

Where s = the semi-perimeter

And a,b,c are the sides.

Obviously this is not going to work, but the problem is

Not in the Heron's formula but your arbitrary apparent triangle.

But on the triangle inequality the a+b>c, i.e you must have

The sum of any two sides of triangle alway bigger than any single side. So the sum of sides 2 and 3 must add to more than 8 such that the semi perimeter is bigger than 8...