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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