How do you use Heron's formula to determine the area of a triangle with sides of that are 25, 29, and 32 units in length?

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Answer 1 · 2016-01-11T06:22:28

#A="345 square units"#

Heron's formula is #A=sqrt((s)(s-a)(s-b)(s-c))#, where #A# is the area, #s# is the semiperimeter, and #a, b, and c# are the sides of the triangle.

Let side #a=25#.
Let side #b=29#.
Let side #c=32#.

Semiperimeter
The formula for the semiperimeter is #s=(a+b+c)/2#.

#s=(25+29+32)/2#

#s=86/2#

#s=43#

Heron's Formula

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

#A=sqrt(43(43-25)(43-29)(43-32)#

#A=sqrt(119196)#

#A="345 square units"#