# How do you use Heron's formula to find the area of a triangle with sides of lengths #2 #, #2 #, and #2 #?

##### 1 Answer

Jan 24, 2016

#### Explanation:

Heron's formula states that for a triangle with sides

#A=sqrt(s(s-a)(s-b)(s-c))#

Here, we know that

#s=(2+2+2)/2=3#

which gives an area of

#A=sqrt(3(3-2)(3-2)(3-2))#

#A=sqrt3approx1.7321#

This problem could also be solved by drawing the equilateral triangle and splitting it into two right triangles with base