If you fold a square diagonally, you will create a right isosceles triangle. We will take the triangle’s area to be 1. Continue to halve this triangle again and again by placing the acute angles on top of each other. Write a java program, HalfAreas_YI.java and prompt the user how many times wants the square to be folded.

As an example, let’s say the user’s response to the prompt is 5.

Output: in full sentence display the number of folds and the area of the final triangle.

Find an origami paper on the last table and do it manually first. Do the calculations so you can check your program is doing the right thing.

Once you confirm your program is running properly, run the program for an input of 7 folds. Submit both, the hand calculation, the output for the test and the solution for the 7 folds.

NOTE: if you are aware of finding the solution by using a formula, you can add that information to your documentation. For this assignment you must use loops.