You can calculate the area of a triangle if you know the lengths of all three sides, using a formula that has been known for nearly 2000 years. It is called "Heron's Formula". Heron's formula uses the following two steps to calculate the area of a triangle. Step 1: Calculate "s" (half of the triangles perimeter): Step 2: Calculate Area: A = √√√s(sa)(sb)(s — c) #include By using Heron's formula, write the definition of the function area_of_triangle so that it can work in conjunction with the following source code. #include int main (void) { S= double a, b, c, area; printf("Enter the sides of triangle\n"); scanf("%lf%lf%lf", &a, &b, &c); a+b+c 2 area = area_of_triangle (a, b, c); printf ("Area of triangle = %.21f\n", area); return 0; Enter the sides of triangle 4.0 5.0 6.0 Area of triangle = 9.92 } You can use sqrt() from math.h header file. Its prototype is: double sqrt (double x); A sample run of this program is shown in the following figure.

Python: numpy def serial_numbers(num_players):"""QUESTION 2- You are going to assign each player a serial number in the game.- In order to make the players feel that the game is very popular with a large player base,you don't want the serial numbers to be consecutive. - Instead, the serial numbers of the players must be equally spaced, starting from 1 and going all the way up to 100 (inclusive).- Given the number of players in the system, return a 1D numpy array of the serial numbers for the players.- THIS MUST BE DONE IN ONE LINEArgs:num_players (int)Returns:np.array>> serial_numbers(10)array([1. 12. 23. 34. 45. 56. 67. 78. 89. 100.])>> serial_numbers(12)array([1. 10. 19. 28. 37. 46. 55. 64. 73. 82. 91. 100.])""" # print(serial_numbers(10)) # print(serial_numbers(12))

Python

MONTY HALL LAB write this code in python and use # to answers questions - You are only allowed to use the following functions/methods: print(), range(), len(), sum(), max(), min(), and .append(). It is not mandatory to useall of these functions/methods. In this lab, you will write a code that simulates the Monty Hall Game Show. Thegame host gives the participant the choice of selecting one of three doors. Twodoors has a goat behind them and one door has a prize. The set of choices arerandomized each round. The participant needs to select the door with the prizebehind it. When the participant selects a door, the game host reveals a door with agoat behind it. The game host opens a door (different from the one selected by theparticipant) that has a goat behind it. The participant is then given the option tochange their choice. When you run your code, the code would display a message prompting the user toinput their door choice, labelled as 1, 2, and 3. Then the code will display a…

A complex number is a number in the form a+bi, where a and b are real numbers and i is √(-1)   The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas:   a + bi   +   c + di  =  (a+c) + (b+d)i    (addition) a + bi   −  (c + di) = (a−c) + (b−d)i   (subtraction) (a + bi) * (c + di) = (ac−bd) + (bc+ad)i   (multiplication) (a + bi) / (c + di)  = (ac+bd) / (c2+d2) + (bc−ad)i / (c2+d2)   (division)   You can obtain the Absolute Value for a complex number using the following formula: |a + bi|  =  √(a2 + b2)   A Complex number can be interpreted as a point on a plane by identifying the (a,b) values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin, as shown in the example below.   (1) Design a class named Complex for representing complex numbers Include…

C#: Please help

# given a radius, find the area of a circle # use value of pi as 3.1415 def get_area_circle(r):   """ what it takes radius of a circle (any positive real number) what it does: computes the area of a circle given a radius, find the area of a circle area = pi*r2 (pi times r squared) what it returns area of a circle. Any positive real number (float) """   # your code goes in here

See the sample outputs for more clarification. Project Specifications Input for this project: Values of the grid (row by row) Output for this project: Whether or not the grid is magic square Programmer's full name Project number Project due date Processing Requirements Use the following template to start your project: #include using namespace std; // Global constants // The number of rows in the array // The number of columns in the array // The value of the smallest number // The value of the largest number const int ROWS = 3; const int COLS = 3; const int MIN = 1; const int MAX = 9; // Function prototypes bool isMagicsquare(int arrayRow1[], int arrayRow2 [], int arrayRow3[], int size); bool checkRange (int arrayRow1[], int arrayRow2[], int arrayRow3[], int size, int min, int max); bool checkUnique(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size); bool checkRowSum (int arrayrow1[], int arrayrow2[], int arrayrow3[], int size); bool checkColiSum(int arrayrow1[], int…