Right Triangle Calculator

Find missing sides and angles of a right triangle. Enter two known values.

Enter any two values to solve the triangle.

Side a
Side b
Hypotenuse c
Area
Angle A
Angle B

Solving Right Triangles

A right triangle has one 90° angle. The longest side (opposite the right angle) is called the hypotenuse.

Pythagorean Theorem

a² + b² = c²

SOH CAH TOA

  • SOH: Sin = Opposite / Hypotenuse
  • CAH: Cos = Adjacent / Hypotenuse
  • TOA: Tan = Opposite / Adjacent

Example: 3-4-5 Triangle

  • Sides: 3, 4, 5
  • Angles: 36.87°, 53.13°, 90°
  • Area: (3 × 4) / 2 = 6

Frequently Asked Questions

How do I find the hypotenuse?
Use the Pythagorean theorem: c = √(a² + b²). For example, if the legs are 3 and 4, then c = √(9 + 16) = √25 = 5.