Question

Find the area of a triangle with a = 174 b = 138 and c = 188 round to the nearest tenth

Answer 1

`\boxed{11486}`

Step-by-step explanation:

1. Calculate the perimeter p

p = a + b + c = 174 + 138 + 188 = 500

2. Calculate the semiperimeter s

s = p/2 = 500/2 = 250

3. Calculate the area

We can use Heron's Formula:

`\begin{array}{rcl}A & = & √(s(s-a)(s-b)(s-c))\\& = & √(250(250-174)(250-138)(250-188))\\& = & √(250* 76 * 112 * 62)\\& = &√(131 936 000)\\& = & \mathbf{11 486}\\\end{array}`

`\text{The area of the triangle is } \boxed{\textbf{11486}}]`