You will write a class to help young geometry enthusiast to solve the side and a

Question

You will write a class to help young geometry enthusiast to solve the side and angle problem given to all geometry students by their teachers. This class will be able to calculate all three angles and all three sides (if possible) given three bits of information about the triangle Specifications: The input combinations will be either 3 sides, 3 angles, 2 sides/1 angle, 2 angles/1 side, or only 1 or 2 inputs. If a solution is not possible, the class will notify the student The class should allow the student to output the solution (all side and angle values) or state if no solution is possible The program should also state what type of problem it is that it is solving (AAA, AAS, ASA, SAS, SSA, or SSS). For a description of these, please see the website: https: //www.mathsisfun.com/algebra/triq-solving-triangles.html The class shouïd allow the student to set and get any side?r angle The class should allow the student to get the type of problem to be solved (once three bits of information have been given) . The class should allow the student to initiate a solving of the triangle problem All numbers should be printed in a fixed decimal format with only one decimal place always showing A basic program is given to test your class. Please be aware that this will not test ALL possibilities. It is your responsibility to test all possibilities Assumptions: 1) If two solutions exist, only report one 2) The inputs will always to valid for a triangle 3) There will not be more than 3 inputs (there may be less)

Explanation / Answer

#include <math.h> /// Input/output library

#include <iostream>

#include <iomanip>

using namespace std; /// Set namespace to std

class Triangle

{

double a,b,c,A,B,C; // a,b,c for sides & A,B,C for angle of triangle

int enough=1; // variable keep track for enough input. 0 value means not enough input

string prob; // varible store the type of triangle problem

public:

//Declaration of class function

Triangle(); //Constructor function

void setSideA(double s);

void setSideB(double s);

void setSideC(double s);

void setAngleA(double x);

void setAngleB(double x);

void setAngleC(double x);

void solve();

void printSolution();

void clearTriangle();

}; // End of class defination

// function defination of class Triangle

Triangle::Triangle()

{a=b=c=A=B=C=0;}

void Triangle::setSideA(double s)

{a=s;}

void Triangle::setSideB(double s)

{b=s;}

void Triangle::setSideC(double s)

{c=s;}

void Triangle::setAngleA(double x)

{A=x;}

void Triangle::setAngleB(double x)

{B=x;}

void Triangle::setAngleC(double x)

{C=x;}

void Triangle::solve()

{ double radianA,radianB,radianC,toradian,todegree;

toradian=3.1415/180; // used to convert from degree to radian

todegree=180/3.1415; // used to convert from radian to degree

// converting A,B,C angles to radian

radianA=A*toradian;

radianB=B*toradian;

radianC=C*toradian;

prob="";

if(a!=0 && b!=0 && c!=0)

{ prob="SSS";

A = acos((b*b + c*c - a*a) / (2*b*c))*todegree;

B = acos((a*a + c*c - b*b) / (2*a*c))*todegree;

C = acos((a*a + b*b - c*c) / (2*a*b))*todegree;

}

else

if(a!=0 && b!=0 && A!=0)

{prob="SSA";

B=asin(b*sin(radianA)/a)*180/3.1415;

C=180-A-B;

radianC=C*toradian;

c=(sin(radianC)*todegree)*a/(sin(radianA)*todegree);

}

else

if(a!=0 && b!=0 && C!=0)

{prob="SAS";

radianC=C*toradian;

c=sqrt(a*a+b*b-2*a*b*cos(radianC));

A=asin((a*(sin(radianC)))/c)*180/3.1415;

B=180-A-C;}

else

if(A!=0 && b!=0 && C!=0)

{ prob="ASA";

B=180-A-C;

radianB=B*toradian;

a= (sin(radianA)*todegree)*b/(sin(radianB)*todegree);

c= (sin(radianC)*todegree)*b/(sin(radianB)*todegree);

}

else

if(A!=0 && B!=0 && a!=0)

{prob="ASA";

C=180-A-B;

radianC=C*toradian;

b= ((sin(radianB)*todegree)*a)/(sin(radianA)*todegree);

c= ((sin(radianC)*todegree)*b)/(sin(radianB)*todegree);

}

else

if((A!=0 && B!=0 && C!=0) && (a==0 && b==0 && c==0))

{prob="AAA";enough=0;}

else

enough=0; // not enough input

} //End of solve() function

void Triangle::printSolution()

{if(enough==1) // condition for enough input & right problem selection

{ cout<<endl<<"This is a "<<prob<<" problem..."<<endl;

cout <<fixed<<setprecision(1);

cout<<"side a="<<a<<endl;

cout<<"side b="<<b<<endl;

cout<<"side c="<<c<<endl;

cout<<"angle A="<<A<<" degree"<<endl;

cout<<"angle B="<<B<<" degree"<<endl;

cout<<"angle C="<<C<<" degree"<<endl<<endl;

}

else

if(enough==0 && prob=="") // not enough information

{

cout<<"Not enough information to solve!"<<endl;

enough=1;

}

if(prob=="AAA" && enough==0) // if all the inputs are angles

{ cout<<endl<<"This is a "<<prob<<" problem..."<<endl;

cout<<"The sides can not be detemined from just from angles"<<endl;

enough=1;

}

} //End of printSolution() function

void Triangle::clearTriangle() // Clear the value of all the sides & angles

{a=b=c=A=B=C=0;}

/// This is a program to test the Traingle Solver class

int main()

{

/// Declare variables

Triangle triangle; /// Create a Triangle object

/// Let’s test SSS

cout << "Setting side a to 3" << endl;

triangle.setSideA(3);

cout << "Setting side b to 4" << endl;

triangle.setSideB(4);

cout << "Setting side c to 6" << endl;

triangle.setSideC(6);

/// Solve the SSS

cout << "Solving the SSS problem" << endl;

triangle.solve();

/// Printing the solution

cout << "Printing the SSS problem" << endl;

triangle.printSolution();

/// Clear Triangle

cout << "Clearing triangle" << endl;

cout << endl;

triangle.clearTriangle();

/// Let’s test SSA

cout << "Setting side a to 17" << endl;

triangle.setSideA(17);

cout << "Setting side b to 19" << endl;

triangle.setSideB(19);

cout << "Setting angle A to 49" << endl;

triangle.setAngleA(49);

/// Solve the SSA

cout << "Solving the SSA problem" << endl;

triangle.solve();

/// Printing the solution

cout << "Printing the SSA problem" << endl;

triangle.printSolution();

/// Clear Triangle

cout << "Clearing triangle" << endl;

cout << endl;

triangle.clearTriangle();

/// Let’s test SAS

cout << "Setting side a to 17" << endl;

triangle.setSideA(17);

cout << "Setting side b to 19" << endl;

triangle.setSideB(19);

cout << "Setting angle C to 49" << endl;

triangle.setAngleC(49);

/// Solve the SAS

cout << "Solving the SSA problem" << endl;

triangle.solve();

/// Printing the solution

cout << "Printing the SAS problem" << endl;

triangle.printSolution();

/// Clear Triangle

cout << "Clearing triangle" << endl;

cout << endl;

triangle.clearTriangle();

/// Let’s test ASA

cout << "Setting angle A to 24" << endl;

triangle.setAngleA(24);

cout << "Setting side b to 19" << endl;

triangle.setSideB(19);

cout << "Setting angle C to 49" << endl;

triangle.setAngleC(49);

/// Solve the ASA

cout << "Solving the ASA problem" << endl;

triangle.solve();

/// Printing the solution

cout << "Printing the ASA problem" << endl;

triangle.printSolution();

/// Clear Triangle

cout << "Clearing triangle" << endl;

cout << endl;

triangle.clearTriangle();

/// Let’s test AAS

cout << "Setting angle A to 89" << endl;

triangle.setAngleA(89);

cout << "Setting angle B to 47" << endl;

triangle.setAngleB(47);

cout << "Setting side a to 34" << endl;

triangle.setSideA(34);

/// Solve the AAS

cout << "Solving the AAS problem" << endl;

triangle.solve();

/// Printing the solution

cout << "Printing the AAS problem" << endl;

triangle.printSolution();

/// Clear Triangle

cout << "Clearing triangle" << endl;

cout << endl;

triangle.clearTriangle();

/// Let’s test AAA

cout << "Setting angle A to 89" << endl;

triangle.setAngleA(89);

cout << "Setting angle B to 47" << endl;

triangle.setAngleB(47);

cout << "Setting angle C to 44" << endl;

triangle.setAngleC(44);

/// Solve the AAA

cout << "Solving the AAA problem" << endl;

triangle.solve();

/// Printing the solution

cout << "Printing the AAA problem" << endl;

triangle.printSolution();

/// Clear Triangle

cout << "Clearing triangle" << endl;

cout << endl;

triangle.clearTriangle();

/// Let’s test too few inputs

cout << "Setting angle A to 89" << endl;

triangle.setAngleA(89);

cout << "Setting angle B to 47" << endl;

triangle.setAngleB(47);

/// Solve the too few inputs

cout << "Solving with too few inputs" << endl;

triangle.solve();

/// Printing the solution

cout << "Printing the too few inputs problem" << endl;

triangle.printSolution();

return 0;

} /// end main

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