Fri, 17 Apr 2026 09:01:35 +0000

A triangle has sides in the ratio 3:4:5. If the perimeter is 72 cm, what is the length of the longest side? This Cahoots of geometry solving a timeless puzzle: a right triangle built on one of the most recognizable side ratios in math and design. The 3:4:5 ratio defines a right-angled triangle where each side measures multiples of 3, 4, and 5 respectively. It’s a foundational shape studied in architecture, art, and design—drawn not only in textbooks but also in modern visual storytelling across media. When the perimeter of such a triangle measures 72 cm, understanding the side lengths becomes both an intellectual challenge and a practical insight. This ratio conveys balance and harmony—properties admired in both science and aesthetics—making it a compelling case study for curious learners and problem-solvers alike. **Why the 3:4:5 ratio matters today**