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

1. C++ program for calculating the length of the hypotenuse of a right angled triangle:-

Formula used: -   c = sqrt(a^2 + b^2)

#include <iostream>
#include<stdio.h>
#include<math.h>
using namespace std;

int main() {
    double a,b,c;
   printf("Enter the value of side A:-   \n");
   scanf("%lf",&a);
   printf("Enter the value of sideB:-   \n");
   scanf("%lf",&b);
   c = sqrt(a*a + b*b);
   printf("The length of the Hypotenuse of the right angled triangle is:- %lf",c);
   return 0;
}

Output:-

Enter the value of side A:-   3
Enter the value of sideB:-   4
The length of the Hypotenuse of the right angled triangle is:- 5

2. C++ program to calculate the roots of the quadratic equation :-

Formula Used :-    x = (-b + sqrt(b^2 - 4*a*c))/2*a       y = (-b - sqrt(b^2 - 4*a*c))/2*a

#include <iostream>
#include<stdio.h>
#include<math.h>
using namespace std;

int main() {
    double a,b,c;
    double x,y;
   printf("Enter the value of coefficient a:-   \n");
   scanf("%lf",&a);
   printf("Enter the value of coefficient b:-   \n");
   scanf("%lf",&b);
   printf("Enter the value of coefficient c:-   \n");
   scanf("%lf",&c);
   x = (-b + sqrt(b*b - 4*a*c))/(2*a);
   y = (-b - sqrt(b*b - 4*a*c))/(2*a);
   printf("The values of the roots x and y of the quadratic equation are:- %lf and    %lf",x,y);
   return 0;
}

Output:-

Enter the value of coefficient a:-   4
Enter the value of coefficient b:-   4
Enter the value of coefficient c:-   1
The values of the roots x and y of the quadratic equation are:- -0.500000 and    -0.500000