45-45-90 Triangle Calculator - Multi-Tools

45-45-90 Triangle Calculator

Calculate the sides, area, perimeter, and other properties of a 45-45-90 triangle using the special side ratios.

units

45-45-90 Triangle Properties

Side Ratios

Leg : Leg : Hypotenuse = 1 : 1 : √2

where both legs are equal in length
Area

A = ½ × a²

where a is the length of either leg
Perimeter

P = 2a + a√2

where a is the length of either leg
Height

h = a/√2

where a is the length of either leg
Note: In a 45-45-90 triangle, both legs are equal in length, and the hypotenuse is √2 times the length of either leg.

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