A triangle has sides with lengths: 3, 8, and 9. How do you find the area of the triangle using Heron's formula?
1 Answer
Jan 17, 2016
Explanation:
First, find the triangle's semiperimeter. This is used in Heron's formula.
#s=(a+b+c)/2#
Here,
#s=(3+8+9)/2=10#
Heron's formula, which gives the area of a triangle, is
#A=sqrt(s(s-a)(s-b)(s-c))#
#A=sqrt(10(10-3)(10-8)(10-9))#
#A=sqrt(10xx7xx2)#
#A=sqrt(2^2xx5xx7)#
#A=2sqrt35#
