In the previous article, we have discussed Python Program to Find Volume and Surface Area of Sphere
Isosceles triangle :
An isosceles triangle is a triangle with two equal-length sides in geometry.It is sometimes stated as having exactly two equal-length sides and other times as having at least two equal-length sides, with the latter containing the equilateral triangle as a particular scenario.
Formula :
The formula to find the area of an isosceles triangle = (y * math.sqrt((4 * x * x) – (y * y)))/4;
where x , y are the two side lengths of an isosceles triangle.
Given two sides of an isosceles triangle and the task is to find the area of the given isosceles triangle.
- Python Program for Maximum Number of Squares that Can Fit in a Right Angle Isosceles Triangle
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- Python Program for Maximum Number of 2×2 Squares That Can be Fit Inside a Right Isosceles Triangle
Examples:
Example1:
Input:
Given length of first side = 5 Given length of second side = 9
Output:
The Given Isosceles Triangle area with sides [ 5 , 9 ]= 9.808
Example2:
Input:
Given length of first side = 12 Given length of second side = 17.2
Output:
The Given Isosceles Triangle area with sides [ 12 , 17.2 ]= 71.973
Program to Find Isosceles Triangle Area
Below are the ways to find the area of the given isosceles triangle:
Method #1: Using Mathematical Formula (Static Input)
Approach:
- Import math module using the import keyword.
- Give the length of the first side of an isosceles triangle as static input and store it in a variable.
- Give the length of the second side of an isosceles triangle as static input and store it in another variable.
- Calculate the length of the given isosceles triangle using math.sqrt() function and the above given mathematical formula.
- Store it in another variable.
- Print the area of the given isosceles triangle.
- The Exit of the Program.
Below is the implementation:
# Import math module using the import keyword. import math # Give the length of the first side of an isosceles triangle as static input # and store it in a variable. fst_side = 5 # Give the length of the second side of an isosceles triangle as static input # and store it in another variable. secnd_side = 9 # Calculate the length of the given isosceles triangle using math.sqrt() function # and the above given mathematical formula. # Store it in another variable. area_isosce_tringl = ( secnd_side * math.sqrt((4 * fst_side * fst_side) - (secnd_side * secnd_side)))/4 # Print the area of the given isosceles triangle. print("The Given Isosceles Triangle area with sides [", fst_side, ",", secnd_side, "]= %.3f" % area_isosce_tringl)
Output:
The Given Isosceles Triangle area with sides [ 5 , 9 ]= 9.808
Method #2: Using Mathematical Formula (User Input)
Approach:
- Import math module using the import keyword.
- Give the length of the first side of an isosceles triangle as user input using the float(input()) function and store it in a variable.
- Give the length of the second side of an isosceles triangle as user input using the float(input()) function and store it in another variable.
- Calculate the length of the given isosceles triangle using math.sqrt() function and the above given mathematical formula.
- Store it in another variable.
- Print the area of the given isosceles triangle.
- The Exit of the Program.
Below is the implementation:
# Import math module using the import keyword. import math # Give the length of the first side of an isosceles triangle as user input using the float(input()) #function and store it in a variable. fst_side = float(input("Enter some random number = ")) # Give the length of the second side of an isosceles triangle as user input using the float(input()) #function and store it in another variable. secnd_side = float(input("Enter some random number = ")) # Calculate the length of the given isosceles triangle using math.sqrt() function # and the above given mathematical formula. # Store it in another variable. area_isosce_tringl = ( secnd_side * math.sqrt((4 * fst_side * fst_side) - (secnd_side * secnd_side)))/4 # Print the area of the given isosceles triangle. print("The Given Isosceles Triangle area with sides [", fst_side, ",", secnd_side, "]= %.3f" % area_isosce_tringl)
Output:
Enter some random number = 15 Enter some random number = 22.5 The Given Isosceles Triangle area with sides [ 15.0 , 22.5 ]= 111.618
The area is isosceles is calculated by the above formula.
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