(21 points) Create a data file (using Notepad, perhaps) containing the values shown below (plus add 4 more lines of your choice) and then write a C++ program as follows:

Read the data file (you can assume that it has exactly 8 lines with 3 numbers per line)

Calculate the three angles using the law of cosines (assume that the sides are valid)

Write the results to an output data file. The results should include headings and 2 digits after the decimal point for all values. An example is shown below.

Print the program and the two data files. Input data file: Output data file: ?

Input data file:

20 15 10

5 12 13

10 10 14.142

50 60 70

output data file:

sideA sideB sideC angleA(deg) angleB(deg) angleC(deg)

20.00 15.00 10.00 104.48 46.57 28.96