How do you find the area given #a=75.4, b=52, c=52#?

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Answer 1 · 2017-04-02T16:56:08

#1350.2#

Using Heron's formula

#Area=sqrt(p(p-a)(p−b)(p−c)#

#p# is half the perimeter, or #(a+b+c)/2#

So let's find #p#

#p=(75.4+52+52)/2=179.4/2#

#p=89.7#

Now let's substitute the value of #p# into Heron's formula

Area=#sqrt(89.7(89.7-75.4)(89.7-52)(89.7-52)#

#Area=sqrt(89.7(14.3)(37.7)(37.7)#

#Area=sqrt(1823102.896)#

#Area~~1350.223276#