Answer:
A= 10 units squared
Step-by-step explanation:
Because we are fully given points A and B, as well as the knowledge that ABC is a right triangle, we can assume that point C is the last needed point to form the right angle of this triangle. Meaning, point c has to have one identical coordinate out of (x,y) that is the same from each of our pre-existing coordinates in order to successfully form a right angle.
Due to the fact that we are told that Point C lies on y=2, we know that it already has an identical 'y' coordinate as Point A.
We can now decode that the x coordinate of Point C must be identical to the x coordinate of Point B, In this case, -2
We can conclude that point C lies on (-2,2)
If we look at the length of the sides of the triangle, ignoring the hypotenuse, we can see that one is 4 units long and the other is 5 units long.
To find the area of a square the formula is A= l x w x 0.5
Since 4x 5 = 20 and half of 20 is ten, we know that the final answer will be 10 units^2
to help you visualize this problem I've added an attachment :)
