Measure right triangles with clean inputs and instant outputs. See formulas, steps, and metrics clearly. Save results, download reports, and study worked examples easily.
| Side A | Side B | Hypotenuse | Area | Perimeter |
|---|---|---|---|---|
| 3 | 4 | 5 | 6 | 12 |
| 5 | 12 | 13 | 30 | 30 |
| 8 | 15 | 17 | 60 | 40 |
| 7.5 | 10 | 12.5 | 37.5 | 30 |
The calculator uses the Pythagorean theorem.
c = √(a² + b²)
a and b are the shorter sides. c is the hypotenuse.
Area = (a × b) ÷ 2
Perimeter = a + b + c
Altitude to hypotenuse = (a × b) ÷ c
Enter the two legs of a right triangle.
Select a unit that matches your measurement.
Choose the number of decimal places.
Keep steps enabled if you want a worked method.
Keep extra metrics enabled for more triangle details.
Press Calculate to show the result above the form.
Use the export links to save the report.
A hypotenuse calculator saves time when you solve right triangles. It removes repeated squaring and square root steps. That helps students, teachers, builders, and exam learners. You enter the two shorter sides. The tool returns the longest side immediately. It also shows useful related values.
The main result is the hypotenuse. The calculator also shows side squares, triangle area, perimeter, altitude to the hypotenuse, and both acute angles. These extra outputs improve understanding. They also help with checking homework and practical measurements. Unit labels keep results organized and easier to read.
Small input errors affect the final answer. That matters in design, layout, and workshop tasks. Accurate values reduce waste and improve planning. In school work, accurate results help you confirm each step. The calculator supports decimal inputs. That makes it useful for real measurements, not only textbook integers.
The formula comes from the Pythagorean theorem. In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. If side a and side b are known, the hypotenuse c equals the square root of a squared plus b squared. This relationship is simple and powerful.
Use this calculator during lessons, assignments, surveying practice, woodworking, and drafting. It is also helpful when estimating diagonal distances on screens, floors, frames, and panels. The worked steps make revision easier. The export buttons help keep records. The example table shows how different side pairs change the final value.
This page keeps everything in one place. You can calculate, review the formula, study sample data, and save results. The clean structure reduces distraction. The layout works well across devices. That makes the calculator practical for quick checks and deeper learning.
A math tool should do more than output one number. It should explain the relationship between lengths. Here, you can see how changing either leg changes the hypotenuse. That pattern strengthens intuition. It also supports mental estimation before you trust the result. Students can compare manual answers with computed values and spot mistakes faster. It stays useful during classes, tests, worksheets, and revision sessions.
It finds the hypotenuse of a right triangle from the other two sides. It can also show area, perimeter, altitude, and both acute angles.
It uses the Pythagorean theorem. The rule is c = √(a² + b²). This works only for right triangles.
Yes. The calculator accepts decimal inputs for both legs. That helps when your measurements come from real objects or field work.
Yes. You can choose a unit before calculating. The result uses the same unit, which keeps the report clear and consistent.
Extra metrics help you understand the triangle better. They are useful for homework checks, geometry practice, and practical layout tasks.
Yes. After calculation, you can download a CSV report or a PDF report. Both exports use the current result values.
The calculator shows an error message. Both triangle legs must be positive values for a valid right triangle calculation.
Yes. The worked steps and sample table make revision easier. You can compare manual answers with the generated result quickly.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.