Math

Right Triangle Calculator

Use OmniCalc's right triangle calculator to find the hypotenuse, area, perimeter, and acute angles from the two legs of a right triangle.

Right triangle calculator

Solve a right triangle from its two legs.

Enter the two legs of a right triangle to calculate the hypotenuse, area, perimeter, and acute angles instantly.

Advertisement

Why this result matters

What this calculator helps you answer

A focused geometry follow-on from Pythagorean and Distance that expands the right-triangle cluster without leaving math intent. Use the tool above to enter a few clear inputs and get a practical answer you can use right away.

This right triangle calculator helps students solve right triangles quickly from two leg lengths. It returns the hypotenuse, area, perimeter, and acute angles for geometry homework and quick checks.

Formula and method

How the calculation works

The calculator uses the Pythagorean theorem for the hypotenuse, 1/2 × base × height for area, and inverse tangent relationships for the acute angles.

Example

Example right triangle result

If you enter legs 3 and 4, the calculator returns hypotenuse 5, area 6, and acute angles of about 36.87° and 53.13°.

FAQ

Common questions about this calculator.

Short answers to the questions people often ask before or after using the tool.

Question

What does this right triangle calculator solve?

It solves the hypotenuse, area, perimeter, and the two acute angles from the two perpendicular legs of a right triangle.

Question

Why do the acute angles add up to 90 degrees?

Because the triangle already contains one 90-degree angle, the other two angles must add up to 90 degrees.

Question

What inputs are invalid?

Both leg lengths must be positive numbers to form a real right triangle.

Related calculators

Related calculators

If the next question is close to this one, these are the best pages to open next.

Math

Circle Calculator

Use OmniCalc's circle calculator to calculate area, circumference, diameter, semicircle area, and quarter-circle area from a radius instantly.

Inputs1
Results5
Open calculator

Math

Distance Calculator

Use OmniCalc's distance calculator to find straight-line distance, midpoint, squared distance, and Manhattan distance between two coordinate points.

Inputs4
Results4
Open calculator

Math

Pythagorean Theorem Calculator

Use OmniCalc's Pythagorean theorem calculator to solve right-triangle side lengths by finding a hypotenuse or a missing leg instantly.

Inputs3
Results3
Open calculator

Math

Triangle Calculator

Use OmniCalc's triangle calculator to calculate triangle area, perimeter, semiperimeter, and side-based type from three side lengths, with an optional height check.

Inputs4
Results5
Open calculator
Advertisement
Back to math calculators