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 = (a+b+c)/(2)\\\\s = (4+14+17)/(2)\\\\s = 17.5`

Now, heron's formula is :

`A = √(s(s-a)(s-b)(s-c))`

Putting all given values in above equation :

`A = √(17.5* (17.5-4)*(17.5-14)*(17.5-17))\\\\A = √(17.5* 13.5* 3.5* 0.5)\\\\A = 20.33\ yard^2`

Hence, this is the required solution.