45-45-90 Triangle Calculator

Your details

Enter the length of the selected side or the area/perimeter value.
Leg (a = b)
5m

Length of each equal leg in the chosen unit.

Hypotenuse (c)7.071068m
Altitude (h)3.535534m
Perimeter17.071068m
Area12.5
Inradius (r)1.464466m
Circumradius (R)3.535534m

Leg = 5 m, hypotenuse = 7.0711 m - a ratio of 1 : 1 : sqrt(2).

  • The inscribed circle has radius 1.4645 m and the circumscribed circle has radius 3.5355 m (equal to half the hypotenuse).
  • The two non-right angles are always exactly 45 degrees, so the two legs are always equal.
  • The altitude from the right-angle vertex to the hypotenuse bisects the right angle and equals the leg divided by sqrt(2).
  • Cutting a square along its diagonal creates two identical 45-45-90 triangles, each with a hypotenuse equal to the square side times sqrt(2).

Next stepTry switching the input to "Hypotenuse" or "Area" if that is the measurement you have.

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