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How do you use Heron's formula to determine the area of a triangle with sides of that are 25, 8, and 22 units in length?

1 Answer

Jan 9, 2016

Heron's formula:
#color(white)("XXX")Area_triangle = sqrt(s(s-a)(s-b)(s-c))#

Explanation:

#s# is semi-perimeter #=(a+b+c)/2# for a triangle with sides #a, b, c#

For the given triangle with #a=25, b=8, and c=22#
#color(white)("XXX")s= 27.5#
and
#color(white)("XXX")Area_triangle = sqrt(27.5(2.5)(19.5)(5.5))#

#color(white)("XXXXXXX")=85.87 # (approximately, using a calculator)

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