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

1 Answer
Apr 2, 2017

1350.2

Explanation:

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