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