Question

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

Answer 1

Answer:

$\boxed{11486}$

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:

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

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