# How do you use Heron's formula to determine the area of a triangle with sides of that are 15, 18, and 19 units in length?

##### 2 Answers

Mar 26, 2016

Area

#### Explanation:

Let the sides be

Solve for the half perimeter

The Heron's Formula for the area of the triangle

Area

Area

Area

God bless....I hope the explanation is useful.

Mar 26, 2016

≈ 126.55 square units

#### Explanation:

This is a 2 step process.

step 1 : Calculate half the perimeter (s) of the triangle.

let a = 15 , b = 18 and c = 19

# s = (a+b+c)/2 = (15+18+19)/2 = 52/2 = 26 # step 2 : Calculate the area using

area

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

# = sqrt(26(26-15)(26-18)(26-19))#

# = sqrt(26xx11xx8xx7) ≈ 126.55" square units " #