Consider the cross-section of a house:

Write a program that prompts for and gets the Width, Height, and Roof and then displays the Area to two decimal places. Also display whether the roof angle is Acute, Right, or Obtuse. All variables are double. Name the program house.cpp.

The following formulas will help compute the results:

If Width ² < 2 * Roof ², then the roof angle is Acute.
If Width ² = 2 * Roof ², then the roof angle is Right.
If Width ² > 2 * Roof ², then the roof angle is Obtuse.