Question 1137781
the formula is:


A = sqrt(s * (s - a) * (s - b) * (s - c))


your formula omitted th square root of all those goodies.


s = (a + b + c) / 2.


this is the perimeter of the triangle divided by 2.


in your problem, s = (16 + 10 + 8) / 2 = 34/2 = 17


the formula for area becomes A = sqrt(17 * (17 - 16) * (17 - 10) * (17 - 8)).


this becomes A = sqrt(17 * 1 * 7 * 9) which becomes A = sqrt(1071) which becomes A = 32.72613634.


i checked with an online heron's formula calculator and confirmed this is the correct answer.


the heron's formula calculator can be found at <a href = "http://www.csgnetwork.com/herontriangleareacalc.html" target = "_blank">http://www.csgnetwork.com/herontriangleareacalc.html</a>


here's a display of the results of using that calculator.


<img src = "http://theo.x10hosting.com/2019/033101.jpg" alt="$$$" >
<img src = "http://theo.x10hosting.com/2019/033102.jpg" alt="$$$" >