Triangle Calculator

Find the area, perimeter, and type of a triangle from its three sides. Enter the side lengths.

Area
sq units
By Heron formula.

Usage Tip

A 3-4-5 triangle is the classic right triangle, since 3² + 4² = 5².

THE MATH
Heron: s = (a+b+c)÷2, area = √(s(s−a)(s−b)(s−c))
Type from sides and from the Pythagorean comparison
Heron formula finds a triangle area from just its three sides, no height needed.
Comparing the longest side squared to the sum of the other squares tells whether it is right, acute, or obtuse.
Each side must be shorter than the sum of the other two (triangle inequality).
Type by sides: equilateral, isosceles, or scalene.
Type by angles: right, acute, or obtuse.
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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.