Answer:
The area of triangle AED = (x^2-xy)/2
Step-by-step explanation:
Mathematically, the area of a square is the product of its side lengths
Thus, if the area is x^2; then the side of the square measures x
So each of the side of the square has a measure x units
Now, for the base of the square;
EC = ED + DC
x = ED + y
ED = x - y
Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2
The height here is x and the base is (x-y)
We have this as;
Area of triangle AED =
1/2 * x * (x-y)
= (x(x-y))/2
= (x^2-xy)/2
