๐ Scalene Triangle Calculator
Calculate area and angles of a triangle with all different side lengths.
What is a Scalene Triangle?
A triangle where all three sides have different lengths. All interior angles are also different. Triangle inequality: the sum of any two sides must be greater than the third side.
Heron's Formula (Area)
s = (a + b + c) / 2
S = โ(s(sโa)(sโb)(sโc))
A formula for finding the area from only the three side lengths via the semi-perimeter s. Discovered by the mathematician Heron in the 1st century BC.
Law of Cosines (Angles)
cos A = (bยฒ + cยฒ โ aยฒ) / (2bc)
cos B = (aยฒ + cยฒ โ bยฒ) / (2ac)
cos C = (aยฒ + bยฒ โ cยฒ) / (2ab)
Knowing the three side lengths, you can find each interior angle of the triangle.
Triangle Inequality Condition
For sides a, b, c, all three of the following conditions must be satisfied:
a + b > c
a + c > b
b + c > a
Sum of Interior Angles
โ A + โ B + โ C = 180ยฐ