Triangle semi-Perimeter

The semi-perimeter of a triangle  calculator      Triangle  computes half the length of the perimeter of a triangle.  

INSTRUCTIONS: Choose units and enter the following:

• (a) - length of side a
• (b) - length of side b
• (c) - length of side c

Semi-Perimeter (s): The calculator computes the semi-perimeter in meters. However, this can be automatically converted to many other length units (e.g. inches) via the pull-down menu.

This formula also confirms that the three length can form a triangle. If not, an error message is returned.

The Math/Science

The formula for the semi-perimeter of a triangle is:

    s = (a + b + c) / 2

where:

• s = semi-perimeter of triangle
• a, b, c = length of the three sides of the triangle.

A triangle is a polygon with three sides, three vertices (corners), and three angles. Triangles can be classified based on the lengths of their sides and the measures of their angles as follows:

By Side Lengths:

• Equilateral Triangle: All three sides are equal in length.
• Isosceles Triangle: Two sides are equal in length.
• Scalene Triangle: All three sides have different lengths.

By Angle Measures:

• Acute Triangle: All three angles are less than 90 degrees.
• Right Triangle: One angle is exactly 90 degrees.
• Obtuse Triangle: One angle is greater than 90 degrees.

The sum of the interior angles of any triangle always adds up to 180 degrees. 

Triangle Calculators

• Area of Triangle (base and height)
• Area of Triangle (two sides and interior angle)
• Area of Triangle (two angles and interior side)
• Area of Triangle (three sides)
• Area of Equilateral Triangle
• Area of Triangle (three points)
• Height of Triangle
• Width of Triangle
• Triangle Perimeter
• Interior Angle of a triangle based on the length of three sides
• Semi-perimeter of a triangle
• Area of Circle Within a Triangle
• Area of Circle Around a Triangle
• Area between two vectors
• Triangle Volume

References

• Light and Matter(Dr. Benjamin Crowell) Chapter 0.12 Summary