SOLUTION: I need serious help to solve this. I don't understand why there is such a hard problem; it is the last problem in the set and it is extremely complicated. Thank you so much.

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Question 1137471: I need serious help to solve this. I don't understand why there is such a hard problem; it is the last problem in the set and it is extremely complicated. Thank you so much.
​Heron's formula gives a method of finding the area of a triangle if the lengths of its sides are known. Suppose that​ a, b, & c are the lengths of the sides. Let s denote​ one-half of the perimeter of the triangle​ (called the​ semiperimeter), that​ is, s= 1/2 (a+b+c). Then the area of the triangle is A= √s(s−a)(s−b)(s−c).
Find the area of an island in the form of a triangle if the sides of this triangle measure approximately 13 ​mi, 10 ​mi, and 14 mi.
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
perimeter = 13 + 10 + 14 = 37;

semi-perimeter s = 37/2 = 18.5

s - a = 18.5 - 13 = 5.5;

s - b = 18.5 - 10 = 8.5;

s - c = 18.5 - 14 = 4.5.


Heron's formula:


    Area = sqrt%2818.5%2A5.5%2A8.5%2A4.5%29 = sqrt%283891.9475%29 = 62.39 square miles.    ANSWER