# Semiperimeter Calculator

The semiperimeter of a triangle is a fundamental geometric property that plays a significant role in various mathematical calculations and formulas involving triangles.

## Introduction:

The semiperimeter of a triangle is a fundamental geometric property that plays a significant role in various mathematical calculations and formulas involving triangles. It is defined as half of the perimeter of the triangle. Calculating the semiperimeter is crucial in determining other properties of a triangle, such as its area, inradius, and circumradius. This semiperimeter calculator provides a quick and efficient way to compute the semiperimeter of any triangle.

Instructions:
To use the semiperimeter calculator, follow these simple steps:

1. Enter the lengths of the three sides of the triangle into the corresponding fields.
2. Click on the “Calculate” button.
3. The semiperimeter of the triangle will be displayed instantly.

Formula:
The formula to calculate the semiperimeter (s) of a triangle with side lengths a, b, and c is:

s = a + b + c/2

where:
a, b, and c are the lengths of the three sides of the triangle.

Example:
Suppose you have a triangle with side lengths of a = 5, b = 7, and c = 9. Using the semiperimeter calculator:

s = 5 + 7 + 9/2 = 21/2 = 10.5

Thus, the semiperimeter of the triangle is 10.5 units.

Application:
– Area of a triangle: The semiperimeter is used in Heron’s formula to calculate the area of a triangle.