If a triangle has sides of lengths 7 cm, 24 cm, and 25 cm, determine if it is a right triangle.

Fri, 01 May 2026 01:27:35 +0000

**Why Everyone’s Talking About 7, 24, and 25: Does This Side-Length Triangle Count as Right?** When someone asks, “If a triangle has sides of lengths 7 cm, 24 cm, and 25 cm, determine if it is a right triangle,” the question cuts through modern curiosity like a well-angled vertex. While seemingly simple, this triangle sparks interest across STEM learning, design trends, and practical geometry applications—especially in a mobile-first world where quick, accurate answers drive engagement. Understanding its shape isn’t just about math—it reveals how patterns shape everyday problem-solving. The widespread talk around these specific lengths connects to growing interest in geometry’s real-world relevance. From architecture to 3D modeling, quick verification of right triangles ensures accuracy in design and construction. With more students, educators, and DIY enthusiasts exploring geometric principles through mobile devices, knowing whether this particular triangle conforms to Pythagorean truth strengthens confidence in self-directed learning and practical skills. Verifying if a triangle with sides 7, 24, and 25 cm is right-angled hinges on the Pythagorean theorem: a triangle is right if the square of the longest side equals the sum of the squares of the other two. Here, 25 cm is clearly the hypotenuse—largest by definition. Calculating: 7² = 49, 24² = 576, and 25² = 625. Adding 49 + 576 gives 625—exactly matching the square of 25. This mathematical alignment confirms the triangle is right-angled, offering not just a fact but a foundational insight applicable in countless practical contexts.