in a triangle the sides are 11,12,13 prove that the length of the altitude is 7.25 corresponding to the side having length 12
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Area of triangle=1/2 ×base×height
=1/2×7.25×12
=7.25×6=43.5
From heron formula
s=(11+12+13)/2=18
Area=√18(18-11)(18-12)(18-13)
=√18(7)(6)(5)
=6√105
=6×(10.24)=61.44
Both area are not same.
Hence,7.25 is not corresponding to 12.
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