How do you use Heron's formula to determine the area of a triangle with sides of that are 25, 12, and 22 units in length?

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Answer 1 · 2016-07-17T22:32:50

$Area = 131.99 units^2$

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First we would find S which is the sum of the 3 sides divided by 2.

$S = (25 + 12 + 22)/2$ = $59/2$ = $29.5$

Then use Heron's Equation to calculate the area.

$Area = sqrt(S(S-A)(S-B)(S-C))$

$Area = sqrt(29.5(29.5-25)(29.5-12)(29.5-22))$

$Area = sqrt(29.5(4.5)(17.5)(7.5))$

$Area = sqrt(17423.4375)$

$Area = 131.99 units^2$