45-45-90 Triangle Calculator

45° 45° 90° h a b c
Leg (a = b): 5
Hypotenuse (c): 7.07
Height (h): 3.54
Area: 12.5
Perimeter: 17.07
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Understanding 45-45-90 Triangles

A 45-45-90 triangle is a special right triangle with two 45° angles and one 90° angle. It's also an isosceles triangle, meaning its legs (sides a and b) are equal in length.

Key Properties

  • The ratio of sides is 1 : 1 : √2 (legs : hypotenuse)
  • Height (h) = leg × cos(45°)
  • Area = leg² ÷ 2
  • Perimeter = 2 × leg + hypotenuse