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.

**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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