`a = 1, b = 1/2, c = 3/4` Use Heron's Area Formula to find the area of the triangle.

The Heron's formula is:

`A= sqrt(s(s-a)(s-b)(s-c))`

where s is the semi-perimeter of triangle, and a, b and c are the length of the sides.

The semi-perimeter of the given triangle is:

`s=(1+1/2+3/4)/2=(9/4)/2=9/8`

Then, plug-in `s=9/8` , `a=1` , `b=1/2` and `c=3/4` to the Heron's formula.

`A=sqrt(9/8(9/8-1)(9/8-1/2)(9/8-3/4))=sqrt(9/8(1/8)(5/8)(3/8))`

`A=sqrt(135/4096)`

`A=(3sqrt(15))/64`

Therefore, the area of the triangle is `(3sqrt15)/64` .