Triangle

The triangle has known all three sides: a=5.5 m, b=5.3 m, c= 7.8 m.
Calculate area of ​this triangle.

Result

S =  14.562 m2

Solution:

a=5.5 b=5.3 c=7.8 s=(a+b+c)/2=(5.5+5.3+7.8)/2=9310=9.3 S=s⋅ (s−a)⋅ (s−b)⋅ (s−c)=9.3⋅ (9.3−5.5)⋅ (9.3−5.3)⋅ (9.3−7.8)≐14.5616=14.562 m2a = 5.5 \ \\ b = 5.3 \ \\ c = 7.8 \ \\ s = (a+b+c)/2 = (5.5+5.3+7.8)/2 = \dfrac{ 93 }{ 10 } = 9.3 \ \\ S = \sqrt{ s \cdot \ (s-a) \cdot \ (s-b) \cdot \ (s-c) } = \sqrt{ 9.3 \cdot \ (9.3-5.5) \cdot \ (9.3-5.3) \cdot \ (9.3-7.8) } \doteq 14.5616 = 14.562 \ m^2

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