How do you use Heron's formula to find the area of a triangle with sides of lengths $6$ , $5$ , and $8$ ?

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Answer 1 · 2016-01-22T19:45:38

Area = 14.98 square units

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

$S = (6 + 5 + 8)/2$ = $19/2$ = 9.5

Then use Heron's Equation to calculate the area.

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

$Area = sqrt(9.5(9.5-6)(9.5-5)(9.5-8))$

$Area = sqrt(9.5(3.5)(4.5)(1.5))$

$Area = sqrt(224.4375)$

$Area = 14.98 units^2$

How do you use Heron's formula to find the area of a triangle with sides of lengths 6 6 , 5 5 , and 8 8 ?