# How do you use Heron's formula to determine the area of a triangle with sides of that are 14, 7, and 13 units in length?

##### 1 Answer

Feb 5, 2016

Area ≈ 45.17

#### Explanation:

Calculating the area is a 2 step process.

step 1 : calculate ( half the perimeter of the triangle = s )

step 2 : calculate the area using

# A = sqrt(s(s-a)(s-b)(s-c)# let a = 14 , b = 7 and c = 13

step 1 :

# s = (a+b+c)/2 = (14+7+13)/2 = 34/2 = 17# step 2 :

# A = sqrt(17(17-14)(17-7)(17-13))#

# = sqrt(17 xx 3 xx 10 xx 4) ≈ 45.17color(black)(" square units" ) #