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
Leland Adriano Alejandro
Mar 26, 2016

Area #=126.554" "#square units

Explanation:

Let the sides be #a=15# and #b=18# and #c=19#

Solve for the half perimeter #s=(a+b+c)/2=(15+18+19)/2=26#

The Heron's Formula for the area of the triangle

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

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

Area #=126.554" "#square units

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

Jim G.
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 " #

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