Using Heron's formula, you can calculate the area of a triangle if you know the lengths of all three sides. Given the length of each side of a triangle as input, calculate the area of the triangle using Heron's formula as follows: s = half of the triangle's perimeter area = the square root of s*(s-a)*(s-b)*(s-c), where a, b, and c are each sides of the triangle. Hint: Use the math function sqrt() for calculating the square root. Output the floating-point value of the area with two digits after the decimal point using the following statement once before all other cout statements: cout << fixed << setprecision(2); Ex: If the input for a, b, and c is: 3.0 4.0 5.0 the output is: Triangle area = 6.00   #include #include #include using namespace std; int main() {    /* Type your code here. */    return 0;

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Question

19.16 LAB: Area of a triangle

Using Heron's formula, you can calculate the area of a triangle if you know the lengths of all three sides. Given the length of each side of a triangle as input, calculate the area of the triangle using Heron's formula as follows:

  1. s = half of the triangle's perimeter
  2. area = the square root of s*(s-a)*(s-b)*(s-c), where a, b, and c are each sides of the triangle.

Hint: Use the math function sqrt() for calculating the square root.

Output the floating-point value of the area with two digits after the decimal point using the following statement once before all other cout statements:
cout << fixed << setprecision(2);

Ex: If the input for a, b, and c is:

3.0 4.0 5.0

the output is:

Triangle area = 6.00
 

#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;

int main() {

   /* Type your code here. */

   return 0;

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