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Triangle Calculator

Calculate triangle area, perimeter, hypotenuse, angles and more. Supports right triangles (Pythagorean theorem), equilateral, isosceles and scalene triangles.

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Triangle Calculator
Enter values and click Calculate

📚How to Use

  1. 1
    Enter your values

    Select the triangle type. Fields update automatically based on your selection.

  2. 2
    Click Calculate

    Press Calculate. All results appear instantly in your browser. No data is sent to any server.

  3. 3
    Review and save results

    See your complete results with all key figures. Use Copy or Download to save them for your records.

📊Quick Reference

TypeKey Formula
Right triangle area0.5 x a x b
Hypotenuse√(a² + b²)
Equilateral area(√3/4) x s²
Heron formula√(s(s-a)(s-b)(s-c))

Frequently Asked Questions

What is the Pythagorean theorem?

In a right triangle: a squared + b squared = c squared. For legs 3 and 4: c = root of (9+16) = 5.

How do I find the area with three sides?

Use Heron's formula: Area = root of s(s-a)(s-b)(s-c), where s = (a+b+c)/2.

What is an equilateral triangle?

All three sides and angles equal (60 degrees each). Area = (root of 3 / 4) x side squared.

What are the types of triangles?

By sides: Equilateral, Isosceles, Scalene. By angles: Acute, Right, Obtuse. Angles always sum to 180 degrees.

How do I check if three sides form a valid triangle?

The sum of any two sides must be greater than the third. 3, 4, 8 is invalid because 3+4=7 < 8.

What is the perimeter of a triangle?

Sum of all three sides: P = a + b + c.

What is the sine rule?

a/sin(A) = b/sin(B) = c/sin(C). Used when you know two angles and one side.

What is the cosine rule?

c squared = a squared + b squared - 2ab x cos(C). Used when you know two sides and the included angle.