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A 30̊ 60̊ 90̊ right triangle or right-angled triangle is a triangle with angles 30̊ 60̊ 90̊.

Formulas of triangle with angle 30̊ 60̊ 90̊:

• perimeter = long side + short side + hypotenuse;
• area = 0.5 * long side * short side;
• long side = hypotenuse * 0.866025;
• long side = hypotenuse * sin(60̊);
• hypotenuse = long side * 1.1547;
• short side = hypotenuse * 0.5;
• short side = long side * cotangent(60̊) = 0.57735 * long side;
• hypotenuse = short side * 2;
• long side = short side * tangent(60̊) = 1.732051 * short side;

For example, When Short side a = 2, then the long side b = 3.464102, Hypotenuse c = 4, Area = 3.46102, perimeter = 9.464102.

For example, When Perimeter = 12, then the short side a = 2.535898, long side b = 4.392305, Hypotenuse c = 5.071797, Area = 5.569219.