30-60-90 Triangle Calculator
Calculate the sides, area, perimeter, and other properties of a 30-60-90 triangle using the special side ratios.
Results
Short Leg (a):
0
units
Long Leg (b):
0
units
Hypotenuse (c):
0
units
Area:
0
square units
Perimeter:
0
units
Height:
0
units
30-60-90 Triangle Properties
Side Ratios
Short Leg : Long Leg : Hypotenuse = 1 : √3 : 2
where the short leg is opposite the 30° angleArea
A = ½ × a × b
where a is the short leg and b is the long legPerimeter
P = a + b + c
where a, b, and c are the three sidesHeight
h = b
where b is the long leg
Note: In a 30-60-90 triangle, the sides are in a ratio of 1:√3:2, where the shortest side is opposite the 30° angle.
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