Answer:
From the information we can conclude that the triangle is a isosceles triangle.
First, we can calculate the hypotenuse by using pythagorean theorem:
√(6² + 6²) = √(36 + 36) =√64 = 8 (cm)
To calculate the area of the triangle, we first need to know the height of it.
Since this is a isosceles triangle, the altitude (which is also the height) will also be the median of that triangle.
Then we also have a 90° angle, this triangle is also a right triangle, and in right triangle, the median will equal half of the hypotenuse.
From the reasoning above, we can now calculate the height of the triangle:
8/2 = 4(cm)
The area of the triangle should be:
S = hb/2 = (4 . 6)/2 = 12 (cm²)