30-60-90 Triangle Calculator - Multi-Tools

30-60-90 Triangle Calculator

Calculate the sides, area, perimeter, and other properties of a 30-60-90 triangle using the special side ratios.

units

30-60-90 Triangle Properties

Side Ratios

Short Leg : Long Leg : Hypotenuse = 1 : √3 : 2

where the short leg is opposite the 30° angle
Area

A = ½ × a × b

where a is the short leg and b is the long leg
Perimeter

P = a + b + c

where a, b, and c are the three sides
Height

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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