Given a triangle with sides 7m, 8m and 3m. What is 50% the area of this triangle?
Using Heron's formula ;
Area(Triangle) =s(s−a)(s−b)(s−c)\sqrt {s(s-a) (s-b) (s-c)}s(s−a)(s−b)(s−c)
Where s=(7+8+3)2=9s=\frac{(7+8+3) }{2} =9s=2(7+8+3)=9
Area Triangle =9(9−7)(9−8)(9−3)\sqrt {9(9-7) (9-8) (9-3)}9(9−7)(9−8)(9−3)
Area Triangle =108=10.39m2\sqrt {108}=10.39m^2108=10.39m2
50%Area Triangle =0.5×10.39m20.5×10. 39m^20.5×10.39m2 =5.196cm2=5.196cm2=5.196cm2
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