Math Doubts

Pythagorean Theorem

Fact-checked:

The square of length of hypotenuse equals to the sum of squares of opposite and adjacent sides of a right triangle is called the Pythagorean Theorem.

Introduction

A Greek Mathematician Pythagoras identified the direct geometrical relationship between the sides of a right triangle.

right angled triangle

He observed that the square of length of hypotenuse of a right triangle is exactly equal to the sum of squares of lengths of opposite and adjacent sides of the same triangle.

Example

If $a$, $b$ and $c$ are lengths of opposite side, adjacent side and hypotenuse of a right triangle, then direct relation between them can be expressed in mathematical form as follows.

$\large c^2 \,=\, a^2+b^2$

Proof

Learn how to derive the Pythagorean theorem in algebraic form by the geometrical system.

Ashok Kumar B.E. - Founder of Math Doubts

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.