# A triangle has sides with lengths: 6, 9, and 15. How do you find the area of the triangle using Heron's formula?

##### 2 Answers

Area of triangle is zero

#### Explanation:

In general, a triangle will exist only when the sum of two sides is greater than the longest side.

The longest side of given triangle

Now, the semi-perimeter

The area of triangle by using Herio's formula

The area of the triangle will be zero

**Triangle Inequality Theorem :**

#### Explanation:

Let ,

#a=6 ,b=9 and c=15#

So, according to Triangle Inequality Theorem ,

#""color(red)"it is not possible to construct a triangle."#

**OR**

So,

**So the given length of sides can not forms triangle .**