How do you find the area given a=12.32, b=8.46, c=15.05?

1 Answer
Jim G.
Jul 8, 2017

"area "~~52.108" square units"

Explanation:

"calculate area using "color(blue)"Heron's formula"

(1)color(white)(x)"calculate semi-perimeter (s )"

s=(a+b+c)/2

color(white)(s)=(12.32+8.46+15.05)/2=17.915

(2)color(white)(x)"calculate area (A )"

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

color(white)(A)=sqrt(17.915xx5.595xx9.455xx2.865)

color(white(A)=sqrt(2715.2077..)
color(white)(A)~~52.108" to 3 dec. places"

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