Triangle Perimeter Calculator

Calculate the perimeter of a triangle from its three side lengths with semi-perimeter and individual side breakdown.

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Result

Perimeter

12

Semi-perimeter

6

Area

6

Type

Scalene

Formulas P = 5 + 4 + 3 = 12
s = P / 2 = 6
A = √(s(s−a)(s−b)(s−c)) = 6

Also in Triangles

Triangle Geometry

Triangle perimeter: add three sides with step-by-step breakdown

The triangle perimeter calculator sums the three side lengths of a triangle and shows the semi-perimeter. It also checks whether the three lengths satisfy the triangle inequality before computing results.

Perimeter and semi-perimeter

The perimeter is the total length of the boundary. The semi-perimeter is half the perimeter and is used in many triangle formulas, including Heron's formula for area and the inradius formula.

P = a + b + c

The perimeter is the sum of all three sides.

s = P / 2

The semi-perimeter is half the perimeter.

Triangle inequality check

Three positive lengths form a valid triangle only when every pair sums to more than the third side. This calculator validates that condition before reporting the perimeter, ensuring the input represents a real triangle.

Practical uses

Perimeter is essential for fencing triangular plots, framing triangular structures, or estimating material for trim and edging around triangular shapes.

Frequently asked questions

What is the semi-perimeter used for?

It appears in Heron's formula for area, the inradius formula r = Area / s, and many other triangle identities.

Can two different triangles have the same perimeter?

Yes. Many different triangles can share the same perimeter but have different shapes, areas, and angles.

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