Triangle Calculator

Solve triangle area, perimeter, missing sides, angles, and triangle type with this free triangle calculator.

Calculate Triangle Values

Use Heron's formula with sides 5, 6, and 7
Area = 1/2 × 10 × 8
c² = a² + b²
Your result will appear here.

How triangle calculations work

Area from base and height:
A = 1/2 × b × h

Perimeter:
P = a + b + c

Heron's formula:
A = √(s(s-a)(s-b)(s-c))

Pythagorean theorem:
c² = a² + b²

Why triangles matter

Triangles are used in geometry, construction, engineering, design, and trigonometry. They are one of the most important shapes in measurement and problem solving.

Understanding side lengths, angles, and area helps with layouts, slopes, distances, and structures.

What your result means

Your result shows the area, perimeter, side lengths, angles, and triangle type based on the mode and dimensions entered.

This makes it easier to identify the triangle and understand how its measurements relate.

Triangle calculator tips

Frequently asked questions

What is Heron's formula?

Heron's formula finds triangle area from all three sides using A = √(s(s-a)(s-b)(s-c)).

What makes a right triangle?

A right triangle has one angle equal to 90 degrees.

How do you classify a triangle?

Triangles are classified by side length or angle, such as equilateral, isosceles, scalene, or right.

Can three side lengths always make a triangle?

No. The sum of any two sides must be greater than the third side.