Question

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
m
4yd
14 yd
17 yd

Answer 1

To Find :

The area of triangle whose side are 4 yard, 14 yard and 17 yard.

Solution :

We will use Heron's formula to find area of the triangle.

So,

$s = \dfrac{a+b+c}{2}\\\\s = \dfrac{4+14+17}{2}\\\\s = 17.5$

Now, heron's formula is :

$A = \sqrt{s(s-a)(s-b)(s-c)}$

Putting all given values in above equation :

$A = \sqrt{17.5\times (17.5-4)\times(17.5-14)\times(17.5-17)}\\\\A = \sqrt{17.5\times 13.5\times 3.5\times 0.5}\\\\A = 20.33\ yard^2$

Hence, this is the required solution.