Scalene Triangle Calculator

A scalene triangle is a triangle that comprises three unequal sides. To put it simply, all of its sides have completely different lengths.

The scalene triangle calculator allows you to calculate the area of a scalene triangle, as well as its perimeter, sides, heights, and angles!

💡 Take a look at the triangle area calculator and the perimeter of a triangle calculator to find out more!

Calculating the perimeter of a scalene triangle is extremely simple!

1. Follow the formula:

   Perimeter = a + b + c

   where:

   • a, b, and c are sides of the scalene triangle.

2. Enjoy the results – you've finished the easiest part of scalene triangle calculations! 🎉

We may use multiple equations – the area of a scalene triangle is calculated in exactly the same way as for all the triangles.

Let's choose the equation that suits you best:

• Area = 0.5 × Base × Height

• Area = 0.5 × a × b × sin(γ)

• Area = 0.25 × √((a + b + c) × (-a + b + c) × (a - b + c) × (a + b - c))

• Area = a² × sin(β) × sin(γ)/ (2 × sin(β + γ))

There are a few scalene triangle equations that may be of help:

• Calculate height for any triangle:

  Height = 2 × Area/ Base

  Height = 0.5 × √((a + b + c) × (-a + b + c) × (a - b + c) × (a + b - c)) / b

• For the right triangle:

  Heightᶜ = a × b / c

  where:

  • a, b, and c are sides of the triangle; and

  • Heightᶜ is the height of a base c.

The formula for the area of a scalene right triangle is just the same as for any other right triangle:

Area = a × b / 2

or

Area = b × √(c² - b²) / 2

where:

• a and b are the perpendicular sides; and
• c is the hypotenuse.