Hypotenuse Calculator
Formula: c = √(a² + b²)
Hypotenuse
Triangle Visualization
Right triangle with sides a, b and hypotenuse c
📐 What is a Hypotenuse Calculator?
A Hypotenuse Calculator is a tool that helps you quickly find the longest side of a right triangle without manual calculation. You simply enter the two known sides (a and b), and it instantly calculates the hypotenuse (c) using the Pythagorean theorem.
Instead of solving square roots manually, this calculator gives you fast and accurate results, making it useful for students, engineers, and everyday problem-solving.
📘 How to calculate the hypotenuse of a right triangle?
The hypotenuse is the longest side of a right triangle, located opposite the 90° angle. It is calculated using the Pythagorean theorem:
Where:
- a = one side of the triangle
- b = second side of the triangle
- c = hypotenuse (longest side)
🧮 Example 1 (Basic)
Find the hypotenuse when two sides are small numbers:
- a = 6
- b = 8
✅ Hypotenuse = 10
📘 Example 2 (Common Exam)
This is a popular Pythagorean triple used in exams:
- a = 5
- b = 12
✅ Hypotenuse = 13
🏗️ Example 3 (Real-Life Use)
A ladder is placed against a wall:
- Height (a) = 9 m
- Distance from wall (b) = 12 m
📏 Ladder length = 15 m
📐 Example 4 (Advanced)
Find the hypotenuse for larger values:
- a = 7
- b = 24
✅ Hypotenuse = 25
🎯 When Do You Need This Calculator?
This calculator is useful in many real-life situations:
- 📏 Measuring diagonal distance between two points
- 🏗️ Construction and civil engineering calculations
- 📡 RF and antenna alignment (distance estimation)
- 🎮 Game development and graphics positioning
- 📐 School and competitive exam problems
FAQ on Hypotenuse Calculator
The hypotenuse is the longest side of a right triangle, opposite the 90° angle.
No, the hypotenuse is always the longest side in a right triangle.
No, it only works for right-angled triangles.