Question

what is the area of triangle abc? round to the nearest square unit. herons formula: area =\sqrt{s(s - a)(s - b)(s - c)} 8 square units 15 square units 33 square units 618 square units

Explanation:

Step1: Identify sides

Sides: 10, 8, 16

Step2: Calculate semi-perimeter

$s = (10+8+16)/2 = 17$

Step3: Compute terms

$s-a=7$, $s-b=9$, $s-c=1$

Step4: Apply Heron's formula

Area = $\sqrt{17×7×9×1} = \sqrt{1071} ≈ 32.73$

Step5: Round to nearest unit

≈33

Answer:

C. 33 square units