How do you use Heron's formula to determine the area of a triangle with sides of that are 15, 16, and 13 units in length?

1 Answer
Jim G.
May 2, 2018

#"area "~~91.192" to 3 dec. places"#

Explanation:

#"the area (A) of a triangle using "color(blue)"Heron's formula"# is.

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

#"where s is the semi-perimeter and a, b, c the sides of "#
#"the triangle"#

#"let "a=15,b=16" and "c=13#

#rArrs=(15+16+13)/2=44/2=22#

#rArrA=sqrt(22(22-15)(22-16)(22-13))#

#color(white)(rArrA)=sqrt(22xx7xx6xx9)#

#color(white)(rArrA)=sqrt8316~~91.192#

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