Since 5:12:13 is a Pythagorean triple, the triangle is right-angled.

Thu, 07 May 2026 10:21:31 +0000

Is Triangle with Sides 5, 12, and 13 a Right Triangle? Understanding the Pythagorean Triple When exploring geometry, one of the most fascinating concepts is the relationship between a triangle’s side lengths and right angles—centered around Pythagorean triples. Since 5, 12, and 13 form a classic Pythagorean triple, this triangle is guaranteed to be right-angled. But what exactly makes this set of numbers special? Let’s dive into why this triangle is not only unique but mathematically proven to have a 90-degree angle. --- ### What Is a Pythagorean Triple?