Question

what is the area of triangle abc? round to the nearest hundredth of a square unit.
17.75 square units
81.33 square units
372.71 square units
957.74 square units
herons formula: area = \\(\sqrt{s(s - a)(s - b)(s - c)})

Explanation:

Step1: Calculate semi-perimeter s

$s = \frac{12 + 14 + 16}{2} = 21$

Step2: Compute s(s-a)(s-b)(s-c)

$21(21-12)(21-14)(21-16) = 21×9×7×5 = 6615$

Step3: Find square root for area

$\sqrt{6615} \approx 81.33$

Answer:

B. 81.33 square units