Math

Right Triangle Side Calculator

Missing leg or hypotenuse, plus both acute angles.

Enter your values

ⓘ Live results

Results
Hypotenuse
5
Legs
3 and 4
Hypotenuse
5
Angle opposite leg a
36.87°
Other acute angle
53.13°
Area
6
Perimeter
12
Altitude to the hypotenuse
2.4

Quick answer

In a right triangle a² + b² = c², so the hypotenuse is √(a² + b²) and a missing leg is √(c² − a²).

a² + b² = c²

How to use the Right Triangle Side Calculator

  1. 1Choose whether you are finding the hypotenuse or a leg.
  2. 2Enter the two lengths you know.
  3. 3Read the missing side plus both angles for layout or cutting.

Worked example

Using the values the calculator loads with:

Inputs

  • What are you solving for?Hypotenuse (both legs known)
  • Leg a3
  • Leg b or hypotenuse c4

Results

  • Hypotenuse5
  • Legs3 and 4
  • Hypotenuse5
  • Angle opposite leg a36.87°
  • Other acute angle53.13°
  • Area6
  • Perimeter12
  • Altitude to the hypotenuse2.4

Frequently asked questions

What is the 3-4-5 rule?

A 3-4-5 triangle is exactly right-angled, which is why builders use it to square up corners on site.

Does this work in metres and inches?

Any unit, as long as both inputs use the same one — the output matches.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.