The sides of a triangle are 7 cm, 24 cm, and 25 cm. Verify if it is a right triangle, and if so, calculate its area.

Sat, 09 May 2026 02:41:38 +0000

**The sides of a triangle are 7 cm, 24 cm, and 25 cm. Verify if it is a right triangle, and if so, calculate its area.** Ever wondered why this set of measurements—7 centimeters, 24 centimeters, and 25 centimeters—trends online, especially among learners, builders, and health-conscious users? The straight answer: yes, it forms a right triangle, and understanding that can unlock deeper insights into geometry, practical applications, and reliability in everyday measurements. users searching for accuracy in educational or technical contexts often explore this triangle, not just as a shape, but as a foundation for symmetry, strength, and spatial reasoning. **Why This Triangle Is Trending — Right Triangles and Everyday Impact**
The claim that sides of a triangle are 7 cm, 24 cm, and 25 cm is more than a geometry exercise—it reflects real-world relevance. Right triangles, such as this one, form the core of trigonometry and are vital in construction, architecture, navigation, and even health metrics like posture analysis. In the U.S., professionals and hobbyists alike seek to verify such triangles to ensure tools, designs, or body mechanics follow the laws of geometry. This demand spikes as users explore DIY home projects, fitness alignments, or educational content focused on spatial literacy. The accuracy of verifying a triangle’s right angle also reinforces trust in measurements—critical in fields where precision matters. **How to Verify and Calculate the Area: A Clear, Practical Guide**
To determine if these sides form a right triangle, apply the Pythagorean Theorem: a² + b² = c², where c is the longest side. Here, 7² + 24² = 49 + 576 = 625; and 25² = 625. Since both sides equal, this confirms a right triangle with hypotenuse 25 cm. This verification method resonates across educational platforms