Using C++ programming language create a class triangle that has three sides as class members and contains overloaded constructor. If two sides are given then calculate area as ½ * side1 * side2. However if three sides are given then calculate area using the Heron’s formula.

A(n) ____________ is one instance or variable of a class.

Using classes, design an online address book to keep track of the names, addresses, phone numbers, and dates of birth of family members, close friends, and certain business associates. Your program should be able to handle a maximum of 500 entries. Define a class addressType that can store a street address, city, state, and ZIP code. Use the appropriate functions to print and store the address. Also, use constructors to automatically initialize the member variables. Define a class extPersonType using the class personType (as defined in Example 10-10, Chapter 10), the class dateType (as designed in this chapters Programming Exercise 2), and the class addressType. Add a member variable to this class to classify the person as a family member, friend, or business associate. Also, add a member variable to store the phone number. Add (or override) the functions to print and store the appropriate information. Use constructors to automatically initialize the member variables. Define the class addressBookType using the previously defined classes. An object of the type addressBookType should be able to process a maximum of 500 entries. The program should perform the following operations: Load the data into the address book from a disk. Sort the address book by last name. Search for a person by last name. Print the address, phone number, and date of birth (if it exists) of a given person. Print the names of the people whose birthdays are in a given month. Print the names of all the people between two last names. Depending on the users request, print the names of all family members, friends, or business associates.

Chapter 10 defined the class circleType to implement the basic properties of a circle. (Add the function print to this class to output the radius, area, and circumference of a circle.) Now every cylinder has a base and height, where the base is a circle. Design a class cylinderType that can capture the properties of a cylinder and perform the usual operations on the cylinder. Derive this class from the class circleType designed in Chapter 10. Some of the operations that can be performed on a cylinder are as follows: calculate and print the volume, calculate and print the surface area, set the height, set the radius of the base, and set the center of the base. Also, write a program to test various operations on a cylinder.

When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)