30-60-90 Triangle Calculator
Calculate side lengths, area, and perimeter with ease
Enter Known Value
Triangle Visualization
30°
60°
90°
a
b
c
a = Short Leg (opposite 30°) | b = Long Leg (opposite 60°) | c = Hypotenuse (opposite 90°)
Calculation Results
Short Leg (a)
–
Long Leg (b)
–
Hypotenuse (c)
–
Area
–
Perimeter
–
Enter a value and click Calculate to see results
Calculation Details
30-60-90 Triangle Ratios
In a 30-60-90 triangle, the sides are always in the ratio 1 : √3 : 2
This means:
- Short Leg (opposite 30°) = a
- Long Leg (opposite 60°) = a × √3
- Hypotenuse (opposite 90°) = 2a
Formulas Used
- Area = (1/2) × short leg × long leg
- Perimeter = short leg + long leg + hypotenuse
Step-by-Step Calculation
Calculation details will appear here