A triangle has sides with lengths: 6, 9, and 15. How do you find the area of the triangle using Heron's formula?
Area of triangle is zero
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 :
#a=6 ,b=9 and c=15#
So, according to Triangle Inequality Theorem ,
#""color(red)"it is not possible to construct a triangle."#
So the given length of sides can not forms triangle .