a² + 12² = 13², a² + 144 = 169, a² = 25, a = 5.

Sat, 02 May 2026 11:28:07 +0000

Understanding the Pythagorean Triplet: a² + 12² = 13² (a² + 144 = 169) and Why a = 5 One of the most celebrated expressions in geometry and algebra is the Pythagorean theorem:
a² + b² = c²
This foundational equation reveals powerful relationships in right-angled triangles. In this article, we explore a classic example:
a² + 12² = 13² ### Step 1: Rewrite the Equation
We begin by substituting known values:
- 12 is the value of side b
- 13 is the length of the hypotenuse c So the equation becomes:
a² + 144 = 169