Question 1194250
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This is intended as an addendum or supplement to MathLover1's solution.


As an alternative formula to calculate the area of a triangle, we can use Heron's Formula.


First we need to calculate the semiperimeter
s = semiperimeter
s = (perimeter)/2
s = (a+b+c)/2
s = (4+6+7)/2
s = 8.5


Then we can calculate the area
{{{A = sqrt(s(s-a)(s-b)(s-c))}}}


{{{A = sqrt(8.5(8.5-4)(8.5-6)(8.5-7))}}}


{{{A = sqrt(143.4375)}}}


{{{A = 11.9765395670034}}}


{{{A = 11.977}}}
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