Question

I. Design the C++ code for a program which will use the Pythagorean Theroem to calculate and display the length of a right triangle hypotenuse,c, given the lengths of its adjacent sides: a and b.. (hint: a^2 + b^2 = c^2)

II. Design the C++ code for a program which will calculate and display the roots of a quadratic equation of the form ax^2 + bx + c = 0, given its coefficients, a, b, and c.

Answer 1

#include<iostream>
#include<math.h>
using namespace std;
int main()
{
double a,b,c;
cout<<"Enter sides a and b";
cin>>a>>b;
c=(pow(a,2))+(pow(b,2));
c=sqrt(c);
cout<<"The hypoteneus is "<<c;
return c;
}

C:\Users) kunaltaneja\Documents hypo.exe Enter sides a and b3 The hypoteneus is 5 Process exited after 5.241 seconds with return value 5 Press any key to continue . - -

Q2 -

#include <iostream>
#include <math.h>
using namespace std;
int main()
{
double a, b, c, d, r1,r2, realPart, imaginaryPart;

cout<<"Enter coefficients a, b and c: ";
cin>>a>>b>>c;

d = b*b-4*a*c;

  
if (d > 0)
{

r1 = (-b+sqrt(d))/(2*a);
r2 = (-b-sqrt(d))/(2*a);

cout<<"r1 = "<<r1 <<"and r2 = "<<r2;
}
else if (d == 0)
{
r1 = r2 = -b/(2*a);

cout<<"r1 = r2 = "<< r1;
}
else
{
realPart = -b/(2*a);
imaginaryPart = sqrt(-d)/(2*a);
cout<<"r1 = "<<realPart <<"+"<<imaginaryPart<<"i";
cout<<"r1 = "<<realPart <<"-"<<imaginaryPart<<"i";
}

return 0;
}   

CUsers kunaltaneja\ Documents hypo.exe Enter coefficients a b and c 2 1and 2 0.292893and r21.70711 Process exited after 3.763 seconds with return value 0 Press any key to continue - .