Hypotenuse Calculator

Hypotenuse Calculator

Hypotenuse Calculator

Using the Pythagorean Theorem

Right-Angled Triangle Sides

Result

Enter the lengths of the two shorter sides (a and b) of a right-angled triangle.

ⓘ The Pythagorean Theorem:

a² + b² = c²

This formula calculates the length of the longest side (the hypotenuse, 'c') of a right-angled triangle.

Usa esta calculadora de hypotenuse calculator, right triangle calculator, calculate hypotenuse, triangle side calculator para obtener estimaciones claras y rĂĄpidas. Prueba un ejemplo pequeĂąo para entender el efecto de cada variable.

Calculate the Hypotenuse of Any Right Triangle Instantly

Welcome to our intuitive hypotenuse calculator! This online tool is designed for students, engineers, and DIY enthusiasts who need to quickly find the length of the hypotenuse—the longest side of any right-angled triangle. Simply input the lengths of the two shorter sides (legs), and our calculator instantly applies the Pythagorean theorem to provide an accurate result. It’s the fastest way to calculate hypotenuse without manual effort. 📐 Hours Minutes Seconds Converter,time unit converter,time conversion tool,hours to minutes,seconds converter

How to Use the Hypotenuse Calculator

Using our online right triangle calculator is incredibly simple and efficient. To find the length of the hypotenuse, you only need to know the lengths of the two shorter sides, or ‘legs’, of your right triangle. Follow these easy steps: face shape, face shape analyzer, find my face shape, hairstyle recommendations, makeup tips

  1. Enter the Length of Side ‘a’: Input the measurement of the first leg into the designated field. interest-only loan calculator, interest only mortgage calculator, interest only loan, calculate interest only mortgage, interest only payment calculator
  2. Enter the Length of Side ‘b’: Input the measurement of the second leg into the designated field.
  3. Get Your Result: Our tool instantly applies the Pythagorean theorem to calculate the hypotenuse and display the answer.

Hypotenuse Calculator Worked Example for 2025

Imagine you’re building a shed in 2025 and need to cut a diagonal brace for a rectangular wall. The wall’s height (side ‘a’) is 3 meters, and its width (side ‘b’) is 4 meters. To find the exact length of the diagonal brace (the hypotenuse ‘c’), you would use our calculator:

  • Side ‘a’: 3 meters
  • Side ‘b’: 4 meters

The calculator applies the Pythagorean theorem (a² + b² = c²):

3² + 4² = c²

9 + 16 = c²

25 = c²

c = √25

c = 5 meters

Thus, the diagonal brace needs to be 5 meters long. This demonstrates how our triangle side calculator provides quick, practical solutions. ✅

Key Assumptions and Limitations of This Right Triangle Calculator

  • Right-Angled Triangles Only: This hypotenuse calculator is specifically designed for right-angled triangles, where one angle measures exactly 90 degrees. It cannot be used for acute or obtuse triangles.
  • Positive Real Numbers: All input values for sides ‘a’ and ‘b’ must be positive real numbers. The calculator does not support zero or negative lengths.
  • Pythagorean Theorem: The calculations are based solely on the fundamental Pythagorean theorem (a² + b² = c²), a principle established by the ancient Greek mathematician Pythagoras.
  • Units Consistency: While the calculator does not require specific units, ensure that both input sides (‘a’ and ‘b’) are in the same unit (e.g., both in centimeters or both in inches) for the result to be accurate in that same unit.
  • No Angle Calculations: This tool calculates side lengths only and does not determine the angles of the triangle.

Frequently Asked Questions

Q: What is the hypotenuse in a right triangle?
The hypotenuse is the longest side of a right-angled triangle and is always opposite the right angle (90-degree angle).

How do you calculate the hypotenuse?
You calculate the hypotenuse using the Pythagorean theorem: $a^2 + b^2 = c^2$, where ‘a’ and ‘b’ are the lengths of the two shorter sides (legs) of the right triangle, and ‘c’ is the length of the hypotenuse.

What is the Pythagorean theorem?
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Can a hypotenuse calculator find other sides of a triangle?
Yes, a hypotenuse calculator, based on the Pythagorean theorem, can typically find any missing side of a right triangle if the other two sides are known. For example, if the hypotenuse and one leg are known, it can calculate the length of the other leg.

Last updated 2025

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