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GEOMETRY / HYPOTENUSE AND LEG

Right Triangle Calculator

Solve the missing right-triangle leg from a hypotenuse and one known leg, then calculate area, perimeter, and an acute angle.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

The known leg square is subtracted from the hypotenuse square before taking the positive square root.

Calculation path

Missing leg = sqrt(hypotenuse^2 - known leg^2).

What you provide

What you provide

  • Hypotenuse: Longest side opposite the right angle.
  • Known perpendicular leg: Known side forming the right angle.

What you receive

What you receive

  • Missing perpendicular leg
  • Area and perimeter
  • Acute angle opposite the known leg

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The hypotenuse must be strictly longer than the known leg; outputs assume an exact 90-degree angle.

This is an educational planning result, not a structural, electrical, thermal, solar, battery, generator, or safety design. Confirm specifications, units, codes, and professional requirements before acting.