Question

Write a program to compute the area of a triangle using side-angle-side method and reports the area of that triangle (rounded to 2 decimal places).

Side-angle-side formula: ???? = 1/ 2 ?? sin(?), where a and b are two sides of the triangle, and C is the included angle.

Your program must meet the following criteria to receive full marks:

• Randomly generate two values between 5 and 10 (inclusive) for two sides a and b of the triangle, respectively. You must use random module for this (see https://docs.python.org/3/library/random.html?highlight=random#module-random).

• Ask the user for the angle C in degrees (assume user always gives correct input for this one, i.e., a number between 0 and 180, inclusive).

• Python functions require angles in radians. So first convert the degrees value C to radians. You must use Python math module for this (see https://docs.python.org/3/library/math.html).

• Compute the area of the triangle and print the results as follows. You need to use Python math module here (https://docs.python.org/3/library/math.html#trigonometric-functions).

Sample output:

Enter a value for the angle (between 0 to 180): 45

The area of the triangle with a = 7, b = 6 and c = 45 degrees is 14.85

Answer 1

# do comment if any problem arises

# Code

import random

import math

# generate random values for a and b

a=random.randint(5,10)

b=random.randint(5,10)

# read angle from user

c_degrees=int(input("Enter a value for the angle(between 0 to 180): "))

# convert to radians

c_radian=math.radians(c_degrees)

# calculate area

area=1/2*a*b*math.sin(c_radian)

# round to 2 decimal places

area=round(area,2)

print(f'The area of the triangle with a = {a},b = {b} and c = {c_degrees} degrees is {area}')

Screenshot:

Output: