Question

what is the area of triangle abc? round to the nearest square unit. herons formula: area = √s(s - a)(s - b)(s - c) 8 square units 15 square units 33 square units 618 square units a 10 b 16 8 c

Explanation:

Step1: Calculate semi - perimeter s

Let \(a = 16\), \(b = 8\), \(c = 10\). The semi - perimeter \(s=\frac{a + b + c}{2}=\frac{16+8 + 10}{2}=\frac{34}{2}=17\).

Step2: Apply Heron's formula

Area \(=\sqrt{s(s - a)(s - b)(s - c)}=\sqrt{17(17 - 16)(17 - 8)(17 - 10)}=\sqrt{17\times1\times9\times7}=\sqrt{1071}\approx32.7\approx33\).

Answer:

33 square units