A triangle has sides of lengths 7, 24, and 25. Verify if it is a right triangle, and if so, find its area.

Mon, 04 May 2026 08:10:23 +0000

**A triangle has sides of lengths 7, 24, and 25. Verify if it is a right triangle, and if so, find its area.** In a growing fascination with geometry’s hidden patterns, many in the US are turning their attention to classic triangle properties—especially the well-known 7-24-25 trio. With casual curiosity often sparked by social media trends and viral learning tools, users today ask: *Does this triangle really form a right triangle, and what does that mean for its area?* The answer blends strong mathematical logic with real-world clarity, offering both education and practical insight. ### Why the 7-24-25 Triangle Is a Classic Right Triangle At first glance, 7, 24, and 25 may seem arbitrary—but their side lengths follow a precise pattern. Checking the Pythagorean theorem, where \(a^2 +