Pythagorean Theorem Calculator

Your details

All three sides must share the same unit. Area is returned in the same unit squared.
One of the two shorter sides that meet at the right angle. Leave blank to solve for it.
cm
The other side meeting at the right angle. Leave blank to solve for it.
cm
The longest side, opposite the right angle. Leave blank to solve for it. Must be larger than either leg.
cm
Missing side
Hypotenuse c = 5.0000 cm
Leg a3
Leg b4
Hypotenuse c5
Angle alpha (opposite a)36.87deg
Angle beta (opposite b)53.13deg
Area6
Perimeter12
Altitude to hypotenuse2.4

Hypotenuse c = 5.0000 cm

  • The three sides satisfy a + b + c = 12.000 and a squared plus b squared equals c squared exactly.
  • The two acute angles are alpha = 36.87 degrees (opposite leg a) and beta = 53.13 degrees (opposite leg b), which sum to 90 degrees as expected.
  • The altitude from the right angle to the hypotenuse is 2.4000, useful for computing projections, medians, and similarity ratios.
  • The hypotenuse is always the longest side, and the right angle is always between the two legs.

Next stepFill in any two sides and leave the third blank to solve for it. Switch the unit selector to work in feet, inches, metres, or any other length.

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