About the 30-60-90 Triangle
The short leg is opposite the 30 degree angle.
The long leg is √3 times the short leg.
The hypotenuse is twice the short leg.
These fixed ratios make 30-60-90 triangles common in school geometry and trigonometry.
Calculate the area and all three side lengths of a 30-60-90 special right triangle from its short leg.
The short leg is opposite the 30 degree angle.
The long leg is √3 times the short leg.
The hypotenuse is twice the short leg.
These fixed ratios make 30-60-90 triangles common in school geometry and trigonometry.
| Short Leg | 5 cm |
| Triangle Area | 21.6506 |
| Long Leg | 8.66025 |
| Hypotenuse | 10 |
The long leg is about 8.66025 cm, the hypotenuse is 10 cm and the area is about 21.6506 square centimetres.
Try this example →The ratio of the short leg, long leg and hypotenuse is 1:√3:2.
Divide the hypotenuse by 2 to get the short leg, then use the calculator.
Divide the long leg by √3 to obtain the short leg.
If x is the short leg, area equals x²√3/2.