Answer:
area of the triangle is about 15,183.766
Step-by-step explanation:
The sum of the two shortest sides is 367, which is greater than the longest side, hence these side lengths can form a triangle.*
The perimeter is ...
p = 240 +127 +281 = 648
so the semi-perimeter is ...
s = p/2 = 648/2 = 324
Heron's formula tells you the area is ...
A = √(s(s -a)(s -b)(s -c)) = √(324·84·197·43) = √230,546,736
A ≈ 15,183.766
The area of the triangle is about 15,183.766 square units.
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* The terms s-a, s-b, and s-c are all positive, which is further evidence the side lengths will form a triangle. If one or more of those factors is negative, the side lengths will not form a triangle.
