Problem Solving (PS) | Re: Which of the following could be the area of an isosceles triangle with

If the triangle is isosceles, 2 sides are have equal lengths
We know that the perimeter of the triangle is 18,
2x + y = 18
where x is the length of the 2 sides with equal lengths
and y is the length of the other side

Now, we know that one of the sides is 8

There are two possibilities, when x = 8 or y =8
If x = 8, the three sides are 8,8,2
The area calculated by Heron's formula is not part of the list of the answer options

If y = 8, the three sides are 5,5,8
The area is \(2*\frac{1}{2}*4*3\) as it will form 2 right triangles with sides 3,4,5
Therefore, the area must be 12(Option B)