Pythagorean Theorem Calculator – Find Triangle Sides & Angles Instantly

Pythagorean Calculator

What is the Pythagorean Theorem?

The Pythagorean Theorem is a fundamental principle in mathematics that helps calculate the relationship between the sides of a right-angled triangle. It states: a² + b² = c²

Where:

a and b are the two perpendicular sides (legs)
c is the hypotenuse (the longest side opposite the right angle)

How Our Pythagorean Theorem Calculator Works

Our Pythagorean Calculator allows users to quickly compute missing side lengths and angles of a right triangle. Simply enter two known values (any combination of sides or the hypotenuse), and the calculator will instantly determine the missing values, including angles, area, and perimeter.

Key Features & Benefits

✅ Supports Square Root Values – You can enter side lengths with square roots (e.g., 2√5), making calculations more precise.
✅ Instant Triangle Solutions – Get accurate results for missing side lengths, angles in degrees & radians, area, and perimeter.
✅ User-Friendly Interface – Simple and intuitive design for quick calculations.
✅ Educational & Practical – Ideal for students, engineers, and professionals working with geometry and trigonometry.

Use Cases of the Pythagorean Calculator

🔹 Students & Teachers – Perfect for math homework, exam preparation, and classroom demonstrations.
🔹 Construction & Architecture – Used to measure right angles in buildings, bridges, and layout planning.
🔹 Engineering & Physics – Helps in calculating forces, distances, and angles in various applications.
🔹 Navigation & Surveying – Essential in map reading, GPS calculations, and land measurements.

Example Calculation

Given:

Side a = 2
Hypotenuse c = 2√5

Calculated Output:

b = 4
∠α = 26.565° = 26°33’54” = 0.46365 rad
∠β = 63.435° = 63°26’6″ = 1.10715 rad
Area = 4
Perimeter = 10.4721
Height = 4√5 / 5 = 1.7889

Why Use Our Pythagorean Theorem Calculator?

🔹 Fast & Accurate – No need for manual calculations.
🔹 Accessible Anywhere – Use on mobile, tablet, or desktop.
🔹 Free & Easy to Use – No sign-up or downloads required.

📌 Try the Pythagorean Calculator Now!

Enter two sides and get instant results. Perfect for students, engineers, and professionals working with right-angled triangles!